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S Chand ICSE Maths Chapter 6 Ratio Proportion Exercise 6B Solutions

S Chand ICSE Maths Solutions Class 10 Chapter 6 Ratio Proportion Exercise 6B

Hi students, Welcome to Amans Maths Blogs (AMB). In this post, you will get S Chand ICSE Maths Solutions Class 10 Chapter 6 Ratio Proportion Exercise 6B. This is the chapter of introduction of ‘Ratio and Proportion‘ included in ICSE Class 10 Maths syllabus.

S Chand ICSE Maths Class 10 Chapter 6 Ratio Proportion Exercise 6B Solutions

S Chand ICSE Solutions Class 10 Maths Ratio Proportion Exercise 6B: Ques No 1

If x/y = p/q, prove that (5x + 7y) / (5x – 7y) = (5p + 7q) / (5p – 7q).

S Chand ICSE Maths Solutions:

Ques No 2

If (4a + 9b) : (4a – 9b) = (4c + 9d) : (4c – 9d), then show that a : b :: c : d.

Solutions:

Ques No 3

If (5a + 11b)(5c – 11d) = (5a – 11b)(5c + 11d), then prove that a/b = c/d.

Solutions:


Ques No 4

Show that a, b, c, d are in proportion if

(i) (ma2 + nb2) : (mc2 + nd2) :: (ma2 – nb2) : (mc2 – nd2)

(ii) (a + b + c + d)(a – b – c + d) = (a + b – c – d)(a – b + c – d)

Solutions 4(i):

Solutions 4(ii):

Ques No 5

If a:b = c:d and e:f = g:h, then prove that (ae + bf) : (ae – bf) = (cg + dh) : (cg – dh).

Solutions:


Ques No 6

If x = 10pq / (p + q), then find the value of (x + 5p) / (x – 5p) + (x + 5q) / (x – 5q).

Solutions:


Ques No 7

If x = 6pq / (p + q), then find the value of (x + 3p) / (x – 3p) + (x + 3q) / (x – 3q).

Solutions:

Ques No 8

Solve for x using the properties of proportion.

(i) (3x + √(9x2 – 5)) / (3x – √(9x2 – 5)) = 5

(ii) [√(x + 2) + √(x – 3)] / [√(x + 2) – √(x – 3)] = 5

(iii) (x3 + 3x) / (3x2 + 1) = 341 / 91

(iv) [√(x + 1) + √(x – 1)] / [√(x + 1) – √(x – 1)] = (4x – 1) / 2

Solutions 8(i):


Solutions 8(ii):

Solutions 8(iii):

Solutions 8(iv):

Ques No 9

Solve for x: 16[(a – x) / (a + x)]3 = (a + x) / (a – x)

Solutions:


Ques No 10

Solve for x: (1 + x + x2) / (1 – x + x2) = 171(1 + x) / 172(1 – x), x ≠ 1, -1.

Solutions:


Ques No 11

If x = [√(a2 + b2) + √(a2 – b2)] / [√(a2 + b2) – √(a2 – b2)], then show that b2x2 – 2a2x + b2 = 0.

Solutions:


Ques No 12

If y = [√(a + 3b) + √(a – 3b)] / [√(a + 3b) – √(a – 3b)], then show that 3by2 – 2ay + 3b = 0.

Solutions:


S Chand ICSE Solutions Class 10 Maths Ratio Proportion Exercise 6B: Ques No 13

If (a3 + 3ab2) / (3a2b + b3) = (x3 + 3xy2) / (3x2y + y3), then show that x/a = y/b.

S Chand ICSE Maths Solutions:


S Chand ICSE Class 10 Maths Chapterwise Notes & Solutions
Chapter 1 : GST Notes & Solutions
| Notes | Exercise 1
Chapter 2 : Banking Notes & Solutions
| Notes | Exercise 2 | Revision Exercise
Chapter 3 : Shares & Dividends Notes & Solutions
| Notes | Exercise 3A | Exercise 3B | Revision Exercise
Chapter 4 : Linear Inequations in One Variable Notes & Solutions
| Notes | Exercise 4 | Revision Exercise
Chapter 5 : Quadratic Equations Notes & Solutions
| Notes | Exercise 5A | Exercise 5B | Exercise 5C| Exercise 5D| Exercise 5E| Revision Exercise
Chapter 6 : Ratios & Proportions Notes & Solutions
| Notes | Exercise 6A | Exercise 6B | Exercise 6C| Revision Exercise

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