Mathematics

Mathematics

Problem

The line which contains all points (x,y,z)(x, y, z) which are of the form (x,y,z)=(2,−2,5)+λ(1,−3,2)(x, y, z) = (2, -2, 5) + \lambda (1, -3, 2) intersects the plane 2x−3y+4z=1632x - 3y + 4z = 163 at PP and intersects the YZYZ -plane at QQ . If the distance PQPQ is aba\sqrt{b} , where a,b∈Na, b \in \mathbb{N} and a>3a > 3 , then (a+b)(a + b) is equal to a. 23 b. 95 c. 27 d. None of these

Browse the problem library