Advertisements
Advertisements
प्रश्न
Make f the subject of the formula D = `sqrt((("f" + "p")/("f" - "p"))`. Find f, when D = 13 and P = 21.
Advertisements
उत्तर
D = `sqrt((("f" + "p")/("f" - "p"))`
squaring both sides, we get
⇒ D2 = `(("f" + "p")/("f" - "p"))`
⇒ D2(f - p) = (f + p)
⇒ D2f - D2p = f + p
⇒ D2f - f = p + D2p
⇒ f(D2 - 1) = p(D2 + 1)
⇒ f = `("p"("D"^2 + 1))/(("D"^2 - 1)`
Substituting the values of D = 13 and p = 21
f = `(21(13^&2 + 1))/((13^2 - 1)`
= `(21 xx 170)/(168)`
= 21.25.
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.
How many minutes are there in x hours, y minutes and z seconds.
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 a the subject of formula S = `"ut" + (1)/(2)"at"^2`
Make y the subject of formula W = `"pq" + (1)/(2)"wy"^2`
If 3ax + 2b2 = 3bx + 2a2, then express x in terms of a and b. Also, express the result in the simplest form.
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 g the subject of the formula v2 = u2 - 2gh. Find g, when v = 9.8, u = 41.5 and h = 25.4.
Make c the subject of the formula a = b(1 + ct). Find c, when a = 1100, b = 100 and t = 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"`. Find m, if v = 2, g = 10, h = 5 and E = 104.
