(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Make A the subject of formula R = `("m"_1"B" + "m"_2"A")/("m"_1 + "m"_2)`

Make c the subject of formula x = `(-"b" ± sqrt("b"^2 - 4"ac"))/(2"a")`

Make k the subject of formula T = `2pisqrt(("k"^2 + "h"^2)/"hg"`

Given: mx + ny = p and y = ax + b. Find x in terms of m, n, p, a and b.

If A =  pr² and C = 2pr, then express r in terms of A and C.

If V = pr²h and S = 2pr² + 2prh, then express V in terms of S, p and r.

If 3ax + 2b² = 3bx + 2a², then express x in terms of a and b. Also, express the result in the simplest form.

If b = `(2"a")/("a" - 2)`, and c = `(4"b" - 3)/(3"b" + 4)`, then express c in terms of a.

Make h the subject of the formula R = `"h"/(2)("a" - "b")`. Find h when R = 108, a = 16 and b = 12.

Make s the subject of the formula v² = u² + 2as. Find s when u = 3, a = 2 and v = 5.

Make y the subject of the formula x = `(1 - y^2)/(1 + y^2)`. Find y if x = `(3)/(5)`

Make a the subject of the formula S = `"n"/(2){2"a" + ("n" - 1)"d"}`. Find a when S = 50, n = 10 and d = 2.

Make x the subject of the formula a = `1 - (2"b")/("cx" - "b")`. Find x, when a = 5, b = 12 and 

Make h the subject of the formula K = `sqrt("hg"/"d"^2 - "a"^2`. Find h, when k = -2, a = -3, d = 8 and g = 32.

Make x the subject of the formula y = `(1 - x^2)/(1 + x^2)`. Find x, when y = `(1)/(2)`

Make y the subject of the formula `x/"a" + y/"b" `= 1. Find y, when a = 2, b = 8 and x = 5.

Make m the subject of the formula x = `"my"/(14 - "mt")`. Find m, when x = 6, y = 10 and t = 3.

Make I the subject of the following M = `"L" /"F"(1/2"N" - "C") xx "I"`. Find I, If M = 44, L = 20, F = 15, N = 50 and C = 13.

Make g the subject of the formula v² = u² - 2gh. Find g, when v = 9.8, u = 41.5 and h = 25.4.

Make f the subject of the formula D = `sqrt((("f" + "p")/("f" - "p"))`. Find f, when D = 13 and P = 21.