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Math -- Spring

Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Also find the coordinates of the msths where the graphs of the equations meet the Y-axis. Equatiions By plotting the points and joining them, the lines do not intersect anywhere, i.

Therefore given pair of equations is not consistent, i. Question 7. Solution: Since both the lines coincide. Therefore infinitely many solutions. Question 8. Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis. Solution: By plotting eqations points and joining them, the lines intersect at Equations for maths paper 2 2015 6, 0.

Question 9. Question Find the two numbers equations for maths paper 2 2015 sum is 75 maaths difference is Find their matns. The sum of the digits of a two digit number is 8 and the difference between the number and that formed by reversing the digits is Find the number. The age of the father is twice the sum of the ages of his 2 children. After 20 years, his age will ffor equal to the sum of the ages of his children.

Find the age of the father. A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number. Sita Devi wants to make a rectangular pond on the road side for the purpose of providing drinking water for street animals. The area of the pond will be decreased by 3 square feet if its length is decreased by 2 equationx.

Its area will be increased by 4 square feet if the length is increased by 1 ft. Find the dimensions of the pond. On reversing the digits of a two digit number, number obtained is 9 less than three times the original number. If difference of these two numbers is 45, find the original number.

It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream. The taxi charges in city comprises of fixed charges together with the charge for the distance covered. What will a person have to pay for travelling a distance of 30 km?

A boat takes 4 hours to go 44 km downstream and it mwths go 20 km upstream in the same time. Find the speed of the stream and that of the boat in still water.

A man travels km partly by equations for maths paper 2 2015 and partly by car. He takes 4 hours equations for maths paper 2 2015 the travels 60 km by train and the rest by car.

If he travels km by train and the remaining by car, he takes 10 minutes longer. Papeer the speeds of the train and the car separately. What will a person have to pay for travelling a euqations of 32 km?

Therefore, Area of triangle formed by the lines with y-axis. Determine the coordinates of the vertices of the triangle formed by these lines and x-axis.

Represent this equstions in the form of a pair of linear equations. Find the price of one pencil and that of one chocolate graphically. As per the Question, Lines intersect at 1, 3. RD Sharma Class 12 Solutions. Watch Youtube Videos.

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Join our mailing list. This field is for validation purposes and should be left unchanged. Follow us. Exam Paper. Marking Scheme. Paper 1 , Paper 2. Specimen Paper. Exemplar Paper. Paper 1. Paper 2. X-Mas Theme. Paper A Paper 1. Paper A Paper 2. Paper K Paper 1. Paper K Paper 2. Paper B Paper 1. Paper B Paper 2. Paper L Paper 1.

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Paper J Paper 1. Paper J Paper 2. Sheet A - 10 Questions. Sheet B - 10 Questions. Sheet C - 10 Questions. Sheet D - 10 Questions. Whole Booklet for Printing. Exam Questions 1 - Exam Questions 21 - Exam Questions 41 - Exam Questions 61 - Exam Questions 81 - Exam Questions - Median of a Triangle.

Logarithmic Equations. Perpendicular Bisectors. Proving Trig Identities. Altitude of a Triangle. Related Graphs. Equation of a Tangent to a Curve. Scalar Product.

Stationary Points. Further Differentiation. Quadratic Inequalities. Further Integration. Completing the Square. Recurrence: Consecutive Terms. Tangent to a Circle. Differential Equations. Definite Integrals. Section Formula. To be precise, eleven out of thirty questions have internal choices. Section A 6 mar ks : It contains 6 objectives type of questions from question 1 to 6 each of 1 marks.

The question in this section covers the following concept :. Finding the coordinate of the point. Finding the unknown value of the quadratic equation for its root to be real. Values of trigonometric angles. Divisibility of numbers. Angle angle similarity of a triangle. Finding rational numbers between two given numbers.

Section B 12 marks : This section contains 6 short questions from question 7 to 12 each of 2 marks covering the following topics:. The nth term of the given series. Ratios and coordinate of a line segment. Probability related to the tossing of a coin and dice.

Unknown term or variable of a linear equation. Section C 30 marks : This section consists of 10 questions from question 13 to 22 each of three marks, covering the following topics:. Proofs of irrational numbers. Finding the value of an unknown number in a polynomial equation.

Finding the age from the given details. Finding the unknown value of the equation of a line when the coordinates of the points of the line All Equations For Maths Gcse Course segment are given. Proofs of the trigonometric equation. Determination of the length of a tangent. Proving of geometrical figure using Pythagoras theorem. Area of shaded region in a circle. Application of mensuration. Calculation of mode from frequency distribution table. Section D 32marks : This section deals with long answer type questions from question 23 to 30 each of 4 marks.

Given below are the topics covered:. Application of algebra. Sum of the first nth terms of AP series. Application of trigonometry in calculating height and distance. Construction of triangle. Frustum of a cone. Proof of Pythagoras theorem.

Finding the value of frequencies from the given median and class-interval. The main objective of the CBSE board is to ensure that the pattern of education provided is effective enough to help students focus on improving the important sections of the subject.

Cracking CBSE is difficult without a proper understanding of the concept. Undoubtedly, the Exam requires rigorous preparation and commitment but the right amount of hard work and consistent practice can help you go as planned in order to achieve your goals. It is very important to evaluate your current preparation to improve your performance.

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