Advertisements
Advertisements
प्रश्न
Make x the subject of formula `"a"x^2/"a"^2 + y^2/"b"^2` = 1
उत्तर
`"x"^2/"a"^2 + "y"^2/"b"^2` = 1
⇒ `x^2/"a"^2 = 1 - y^2/"b"^2`
⇒ x2 = `"a"^2(1 - y^2/"b"^2) = "a"^2(("b"^2 - y^2)/"b"^2)`
Taking square root both sides
⇒ x = `sqrt("a"^2(("b"^2 - y^2)/"b"^2)`
= `"a"/"b" sqrt("b"^2 - y^2)`.
APPEARS IN
संबंधित प्रश्न
The fahrenheit temperature, F is 32 more than nine -fifths of the centigrade temperature C. Express this relation by a formula.
The arithmetic mean M of the five numbers a, b, c, d, e is equal to their sum divided by the number of quantities. Express it as a formula.
Make a formula for the statement:"The number of diagonals, d, that can be drawn from one vertex of an n sided polygon to all the other vertices is equal to the number of sides of the polygon less 3"
Make N the subject of formula I = `"NG"/("R" + "Ny")`
Make R2 the subject of formula R2 = 4π(R12 - R22)
If V = pr2h and S = 2pr2 + 2prh, then express V in terms of S, p and r.
Make h the subject of the formula R = `"h"/(2)("a" - "b")`. Find h when R = 108, a = 16 and b = 12.
Make x the subject of the formula y = `(1 - x^2)/(1 + x^2)`. Find x, when y = `(1)/(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 f the subject of the formula D = `sqrt((("f" + "p")/("f" - "p"))`. Find f, when D = 13 and P = 21.
