Question

solve this question .....​

Answer 1

Answer:

option(c)

Step-by-step explanation:

Given,

The line is (x - 2)/3 = (y - 1)/-5 = (z + 2)/2.

Direction of ratios of line are (3,-5,2)

Direction of ratios perpendicular to plane are (1,3,-2).

We know that two lines are perpendicular when,

a₁a₂ + b₁b₂ + c₁c₂ = 0

⇒ 3 * 1 + -5 * 3 + 2 * (-α) = 0

⇒ 3 - 15 - 2α = 0

⇒ α = -6

Now,

Plane passes through point (2,1,-2)

⇒ 2 + 3 + 6(-2) + β = 0

⇒ 5 - 12 + β = 0

⇒ β = 7

Thus, (α,β) = (-6,7)

Hope it helps!

Answer 2

see answer in attachment

#option b is correct