Question

Find the value of k, if the point P (-2, 2) lies on the locus x² - 7x + ky = 0. If the point Q (3, a) also lies on the locus, find the value of a.

Answer 1

-2^2-7×2+k×2=0,K=5 after that put the value of x, y and k in the given equation 3^2-7×3+5a=0,
a=12/5

Answer 2

Answer:

k = -9

a = -4/3

Step-by-step explanation:

Find the value of k, if the point P (-2, 2) lies on the locus x² - 7x + ky = 0. If the point Q (3, a) also lies on the locus, find the value of a.

locus x² - 7x + ky = 0

Point P (-2 , 2) lies on this

x = -2 y = 2

=> (-2)² -7(-2) + k2 = 0

=> 4 + 14 + 2k = 0

=> 2k = -18

=> k = -9

locus x² - 7x -9y = 0

Q(3 , a) x = 3 y = a

=> 3² - 7(3) - 9a = 0

=> 9 - 21 - 9a = 0

=> 9a = -12

=> a = -4/3