Advertisements
Advertisements
प्रश्न
Make x the subject of the formula a = `1 - (2"b")/("cx" - "b")`. Find x, when a = 5, b = 12 and
Advertisements
उत्तर
a = `1 - (2"b")/("cx" - "b")`
⇒ a - 1 = `- (2"b")/("cx" - "b")`
⇒ (a - 1)(cx - b) + 2b = 0
⇒ acx - ab - cx + 3b = 0
⇒ x(ac - c) + b(3 - a) = 0
⇒ xc(a - 1) = -b(3 - a)
⇒ x = `("b"("a" - 3))/("c"("a" - 1)`
Substituting a = 5, b = 12 and c = 2, we get
x = `(12(5 - 3))/(2(5 - 1)`
= `(12 xx 2)/(2 xx 4)`
= 3.
APPEARS IN
संबंधित प्रश्न
The simple interest on a sum of money is the product of the sum of money, the number of years and the rate percentage. Write the formula to find the simple interest on Rs A for T years at R% per annum.
Apple cost x rupees per dozen and mangoes cost y rupees per score. Write a formula to find the total cost C in rupees of 20 apples and 30 mangoes.
Make R the subject of formula A = `"P"(1 + "R"/100)^"N"`
Make a the subject of formula S = `"ut" + (1)/(2)"at"^2`
If 3ax + 2b2 = 3bx + 2a2, then express x in terms of a and b. Also, express the result in the simplest form.
Make y the subject of the formula `x/"a" + y/"b" `= 1. Find y, when a = 2, b = 8 and x = 5.
The pressure P and volume V of a gas are connected by the formula PV = C; where C is a constant. If P = 4 when V = `2(1)/(2)`; find the value of P when V = 4?
The total energy E possess by a body of Mass 'm', moving with a velocity 'v' at a height 'h' is given by: E = `(1)/(2) "m" "u"^2 + "mgh"`. Make 'm' the subject of formula.
The total energy E possess by a body of Mass 'm', moving with a velocity 'v' at a height 'h' is given by: E = `(1)/(2) "m" "u"^2 + "mgh"`. Find m, if v = 2, g = 10, h = 5 and E = 104.
"Area A oof a circular ring formed by 2 concentric circles is equal to the product of pie and the difference of the square of the bigger radius R and the square of the bigger radius R and the square of the smaller radius r. Express the above statement as a formula. Make r the subject of the formula and find r, when A = 88 sq cm and R = 8cm.
