Question

If points (7, 6) and (-3, -4) lie on the locus ax + by = 6, then a and b are ______

Options

• a = 7, b = 6

• a = 7, b = -4

• a = -3, b = 3

• a = 6, b = -6

Answer 1

If points (7, 6) and (-3, -4) lie on the locus ax + by = 6, then a and b are a = 6, b = -6.

Explanation:

Putting x = 7, y = 6 in equation ax + by = 6, we get 7a + 6b = 6 ..................(i)

Putting x = -3, y = -4 in equation ax + by = 6, we get -3a - 4b = 6 .....................(ii)

Solving (i) and (ii), we get a = 6, b = -6