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NCERT Solutions for Class 10 Maths Exercise |

Find the number of zeroes of p xin each case Sol. It does not intersect the x-axis. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

Now, sum of the zeroes Thus, relationship between zeroes and the coefficients in x 2 � 2x � 8 is verified. Thus, the relationship between the zeroes and the coefficients in the polynomial t 2 � 15 is verified.

Find a quadratic polynomial each with the given numbers as 10th ncert textbook zero and product of its zeroes respectively: Sol. Find g x.

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Find the cubic polynomial textbooj the sum, 10th ncert textbook zero the products of its zeroes taken two at a time and the product of its zeroes as 2, �7, �14 respectively.

Toggle navigation. Find the nceet of zeroes of p xin each case. Now, sum of the zeroes. Thus, relationship between aero and the coefficients in x 2 � 2x � 8 is verified. We. Thus, 10th ncert textbook zero relationship between the zeroes and the coefficients in the polynomial 6x 2 � 3 � 7x is verified. We have. Thus, the zer between the zeroes and the coefficients in 3x 2 ttextbook x � 4 is verified.

Find a quadratic polynomial each with the given numbers as sum and product of its 10th ncert textbook zero respectively:. Since, have same zeroes, is the required quadratic polynomial. Product of zeroes. Since, have same zeroes, is required quadratic polynomial. Product of the zeroes. Divide the polynomial p x by the polynomial g x and find the quotient and remainder in each of the following:. Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:.

We have:. Thus, all the other zeroes of the given polynomial are �1 and �1. Give example of polynomials p xg 10th ncert textbook zeroq x and r xwhich satisfy the division algorithm. Also verify the relationship between the zeroes and the coefficients in each case:. Also 1 and � 2 are the zeroes of p tdxtbook. Sum of product of zeroes taken in pair:. Thus, the relationship between the co-efficients and the zeroes of p x is verified.

Now, comparing. 10tth, the relationship between the zeroes and the co-efficients of p x is verified. Therefore, tetbook them, we have:.

You should know:

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SI unit of electric current is ampere A. Ampere is the flow of electric charges through an area at the rate of one coulomb per second, i. Question 1: Name a device that helps to maintain a potential difference across a conductor. Answer: Cell or battery eliminator.

Question 2: What is meant by saying that the potential difference between two points is 1 V? Question 3: How much energy is given to one coulomb of charge passing through a 6 V battery Answer:. Question 1: On what factors does the resistance of a conductor depend Answer: Resistance of a conductor depends upon: i Resistivity of the material. Question 2: Will current flow more easily through a thick wire or thin wire of the same material when connected to the same source?

Question 3: Let the resistance of an electrical component remains constant while the potential difference across the two ends of the component decreases to half of its former value. Answer: Hence, the current through an electrical component also becomes half of its previous value.

Question 4: Why are the coils of electric toasters and electric irons made of an alloy rather than a pure metal Answer: The coils of electric toaster and electric iron are made of an alloy rather than a pure metal because of the following reasons; i The resistivity of an alloy is higher than that of a pure metal.

Question 5: Use the data in Table Question 2: Redraw the circuit of the above question, putting in an ammeter to measure the current through the resistors and a voltmeter to measure the voltage across the 12 resistor.

What would be the reading in the ammeter and the voltmeter? Question 1: Judge the equivalent resistance when 10th Ncert Hindi Textbook For Pdf the following are connected in parallel. What is the resistance of an electric iron connected to the same source that takes as much current as all three appliances and what is the current flows through it?

Question 3: What are the advantages of connecting electrical devices in parallel with the battery instead of connecting them in series? Answer: Advantages of connecting electrical devices in parallel:. Answer: a The highest resistance is secured by combining all four coils of resistance in series.

Question 1: Why does the cord of an electric heater not glow while the heating element does? Answer: The cord of an electric heater is made up of metallic wire such as copper or aluminum which has low resistance while the heating element is made up of an alloy which has more resistance than its constituent metals.

Question 2: Compute the heat generated while transferring C of charge in one hour through a potential difference of 50 V. Question 3: An electric iron of resistance 20 Q takes a current of 5 A. Question 1: What determines the rate at which energy is delivered by a current?

Answer: Electric power determines the rate at which energy is delivered by a current. Question 2: An electric motor takes 5 A from a V line. Question 1: A piece of wire of resistance R is cut into five equal parts. Question 2: Which of the following terms does not represent electrical power in a circuit? Question 3: An electric bulb is rated V and W. Question 4: Two conducting wires of same material and of equal lengths and diameters are first connected in series and then parallel in a circuit across the same potential difference.

The ratio of heat produced in series and parallel combinations would be a b c d Answer:. Question 5: How is a voltmeter connected in the circuit to measure the potential difference between two points? Question 6: A copper wire has a diameter 0.

Question 7: The values of the current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below: Plot a graph between V and I and calculate the resistance of that resistor.

Question 8: When a 12 V battery is connected across an unknown resistor, there is a current of 2. Question 9: A battery of 9 V is connected in series with resistors of 0. Answer: Since all the resistors are in series, the same current, 0. Question Several electric bulbs designed to be used on a V electric supply line, are rated 10 W. Question A hot plate of an electric oven connected to V line has two resistance coils A and B, each of 24 Q resistance, which may be used separately, in series, or in parallel.

Question Two lamps, one rated W at V, and the other 60 W at V, are connected in parallel to electric mains supply. Question An electric heater of resistance 8 f2 draws 15 A from the service mains 2 hours.

Question Explain the following. Answer: a It has high melting point and emits light at a high temperature. Each of them dissipates energy and can withstand a maximum power of 18 W without melting. Find the maximum current that can flow through the three resistors. Question 2: Should the resistance of an ammeter be low or high? Give reason. Answer: The resistance of an ammeter should be low so that it will not disturb the magnitude of current flowing through the circuit when connected in series in a circuit.

Question 3: How does use of a fuse wire protect electrical appliances? Answer: The fuse wire is always connected in series with the live wire or electrical devices. If the flow of current exceeds the specified preset value due to some reason, the heat produced melts it and disconnects the circuit or the device from the mains.

In this way, fuse wire protects the electrical appliances. Question 4: What is electrical resistivity? In a series electrical circuit comprising a resistor made up of a metallic wire, the ammeter reads 5 A. The reading of the ammeter decreases to half when the length of the wire is doubled. Answer: The resistance offered by a metallic wire of unit length and unit cross-sectional area is called electrical resistivity.

Hence, when the length of wire is doubled, the resistance becomes double and current decreases to half.

Calculate the resistance of the electric lamp. Question 6: Why is parallel arrangement used in domestic wiring? Answer: Parallel arrangement is used in domestic wiring because i Each appliance gets the same voltage as that of the mains supply. Question 7: B 1, B 2 and B 3 are three identical bulbs connected as shown in figure. When all the three bulbs glow, a current of 3A is recorded by the ammeter A.

Answer: i Since B 1 ,B 2 and B 3 are in parallel, the potential difference across each of them will remain same. So when the bulb B 1 gets fused, B 2 and B 3 have the same potential and continues with the same energy dissipated per second, i. Question 1: Three incandescent bulbs of W each are connected in series in an electric circuit. In another circuit, another set of three bulbs of the same wattage are connected in parallel to the same source.

Justify your answer. Will the rest of the bulbs continue to glow in each circuit? Answer: a The bulbs in the two circuits will not glow equally bright as the current through them is not the same. While the rest of bulbs in parallel circuit will continue to glow without getting disturbed because in parallel combination, current gets additional paths to flow.

Question 2: Find out the following in the electric circuit given in figure: Answer: e No difference, since the ammeters are connected in series and same current will pass through them, so reading of both ammeters will be same.

Question 1. To determine the equivalent resistance of two resistors when connected in series, a student arranged the circuit components as shown in the diagram. But he did not succeed to achieve the objective. Question 2. For the given circuit, name the components which are connected in parallel. Because terminals of the resistance and voltmeter are connected together.

Question 3. As a result, finding the source that is most reliable, authentic and comprehensive becomes quite a task. My suggestion here would be to do a cursory reading of the books suggested by others and then pick the ones you feel are best suited.

Do not buy books online until you have physically gone through them and feel they will be helpful in your prep. Always start your prep from them and then move on. Do not begin making notes the moment you start a certain subject.

Consult atleast sources besides the NCERT, highlight the important points as you read and then compile them into notes. S Sharma, Bipin Chandra etc. As a result I had to make my notes all over again. Devote the maximum time to making notes as this is what you will be referring to in the last few months of your prep.

You will not have the time to go through all the books at this stage, therefore put everything that is important in your notes. Also, make a separate section for the trivia at the end of your notes. Once you are done making notes, refer the NCERT of all classes from 6th to 12th and jot down minor things or the things in special boxes in a bullet form for quick revision.

When you begin studying, you will realize that even the simplest of topics has the widest of information available. As you read more, you tend to forget the old. Therefore make it a point to first revise the previous days notes before gathering new information on a topic. Revising everyday will take you less time than finishing an entire topic and then reading it again.

This helped me retain more information. When you begin your prep, there will be lots of times when you would wish that you had paid more attention in school! For those who did, the prep becomes easier because they just have to build further on it and not start from scratch.

There were a lot of topics I encountered for which I just had to study the advanced bits. At this age, your level of comprehension has increased and you will easily grasp the concepts from the junior class NCERTs. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Therefore, the maximum number of columns in which an army contingent of members can march behind an army band of 32 members in a parade is 8.

Alternatively: Let n be the number of columns such that the value of n be maximum and it must divide both the numbers and Alternatively: Let a be a positive integer, q be the quotient and r be the remainder. Hence, proved. Let a be a positive integer, q be the quotient and r be the remainder. Question 1: Express each number as a product of its prime factors: i ii iii iv v Solution:. Question 5: Check whether 6 n can end with the digit 0 for any natural number n.

So, there is no natural number VT for which 6 n ends with the digit zero. Solution: Method 1: Both N 1 and N 2 are expressed as a product of primes. Therefore, both are composite numbers. Question 7: There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

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