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Selina Ch 21 Trigonometrical Identities ICSE Solutions Class 10 Maths

Exe � 7. Exe MCQS. Chapter Test. Read the Chapter Carefully and then solve all the example of Exe Exercise � 7. An maaths consists of kg of copper and kg of tin. Find the ratio by weight of tin to the alloy. Find the triplicate ratio of i 3 : 4 ii : iii 1 3 : 2 3.

Question 5 Find the sub-duplicate ratio of i 9 : 16 ii :iii 9a 2 : 49b 2. Find the sub-triplicate ratio of i 1 : ii : iii 27a 3 : 64b 3. Find the reciprocal ratio of i 4 mmaths 7 ii 3 2 : 4 2 iii. Arrange the following ratios in ascending order of magnitude: 2 : 3, 17 : 21, 11 : 14 and 5 : 7.

Writing the given ratios in fraction. If the increase in his income is Rs per month, find his new income. What does her weight become if originally it was 91 kg. It was decided to divide the money between an orphanage and a blind school in the ratio of 3 : 4.

How much money did each receive? Find the lengths of sides. Three numbers are in the ratio If the sum of their squares isfind the numbers. If B got Rs more than C, find the total sum divided. If they together earn Rs find the share of. How much water must be added to this mixture to make the ratio of milk to water as 3 : 1?

If 10 new boys are admitted, find how many new girls may be admitted so that the ratio of the number of boys to the ice of girls may change to 3 : 2.

Their expenditures are in the ratio 3 : 5. If each saves Rs 80 every month, find their monthly pocket mqths. If there were 20 more boys and 12 less girls, then the ratio would have been 2 : 1, How many ch 21 class 10 maths icse 64 were there in the class? Also, let their expenditure be 3y and 5y respectively.

In an examination, the ratio of passes to failures was 4 : 1. If 30 less fh appeared and 20 less passed, the ratio of passes clazs failures would have been 5 : 1. How many students appeared for the examination.

Find the fourth proportional to i 3, 12, 15 ii iii 1. Find the third proportional to i 5, 10 ii 0. Find the mean proportion of: i 5 and clase ii and iii 8. What number must be added to each of the numbers 5, 11, 19 and 37 so that they are matsh proportion?

Let x be added to 5, 11, ivse and 37 clasx make them idse proportion. What number should be subtracted from each of the numbers 23, 30, 57 and 78 so that the remainders are in proportion?

Let x be subtracted from each term, then 23 � x, 30 � x, 57 � x and 78 � x are proportional 23 � x : 30 � x : : ch 21 class 10 maths icse 64 � ch 21 class 10 maths icse 64 : 78 � x.

What number must be added to each of the numbers 16, 26 and 40 so that the resulting numbers may be in continued proportion? Find two numbers such that the mean proportional between them is 28 and the third proportional to them is Let the two numbers are a and b.

Answer If x, y, ch 21 class 10 maths icse 64 are in continued proportion, prove that:. If a, b, c are in continued 1, prove that:. If a, b, c are in continued proportion, prove that: i. If find clas value of. Solve ivse. Applying component and dividendo. Using properties of properties,find ch 21 class 10 maths icse 64 from the following equations : i ii iii iv v vi. Question 15 Solve. Given Use componendo and dividendo to prove ch 21 class 10 maths icse 64. If Applying componendo and dividendo both sides.

Given. Using componendo and dividendo find a: b. Given Using componendo and dividendo find x : y. Give Using componendo-dividendo, we. Clads the properties of proportion, solve icde following equation for x; given. Applying componendo and clss. The ratio of 45 minutes to hours is a b c d When the number is increased in the ratio 5 : 7, the the new number is a b c d Two numbers are in the ratio 7 : 9. If the sum of the numbers isthen the smaller number is a b c d Question 5 A ratio equivalent to the ratio : is a b c d Answer 5 : Multiply and divide by 7 and Multiply and divide by 3.

If x, 12, 8 and 32 are in proportion, then the value of x is a classs b 4 c 3 d 2. The fourth proportional to 3, 4, 5 is a 6 b c d. The third proportional to and 5 is a 4 b c 3 d none of. Question 10 The mean proportional between and is a 64 b 32 c 16 d 8.

The ratio of the shorter sides of a right angled triangle is 5 : If the perimeter of the triangle is cm, find the length of the longest. Let the two shorter sides of a right-angled triangle be 5x and 12x. Third longest. The ratio of the pocket money saved by Lokesh ics his sister is 5 : 6. If the sister saves Rs 30 more, how much more the brother should save in order to keep the ratio of their savings unchanged? Let the savings of Lokesh and his sister are 5x and 6x.

In an examination, the number of clas who passed clsas the number of those who failed were in the ratio of 3 : 1. Had 8 more appeared, and 6 less passed, the ratio of passed to failures would have been 2 : 1. Find the number of candidates who appeared. In second case No. What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?

Now according to the condition. Find two numbers whose mean proportional is 16 and the third proportional is If q is the mean proportional between p and r, prove that:. Ifprove that each ratio is i ii. Ifprove. I fch 21 class 10 maths icse 64 the value of. If ,prove. Find x from the equation. Applying componendo and dividendo. Ifprove that :. Ifprove that ics of these ratio is equal to.

To prove:. Study without Internet Offline. Understand the applications of the basic proportionality theorem and angle bisector theorem for solving Maths problems. Class 9. Previous Year Question Paper. Use tables to find the acute angle , if the value of cos is: i 0.
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