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Class XII Maths 3D Geometry 5

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Question 1

Plane through the point (1, 4, –2) and parallel to the plane –2x + y – 3z = 7 is

Question 2

Two straight lines 3x+4y = 5 and 4x – 3y = 15 intersect at point A. Points B and C are chosen on these two lines such that AB = AC then the equation of the line BC passing through (1, 2) with negative slope is

Question 3

An equation of a plane parallel to the plane x – 2y + 2z – 5 = 0 and at a unit distance from the origin is

Question 4

The radius of the circle in which the sphere x² + y² + z² + 2x − 2y − 4z − 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0 is

Question 5

The shortest distance between the line y - x = 1 and curve x = y² is

Question 6

The distance of the point (1, -5, 9) from the plane x – y + z = 5 measured along the line x = y = z is :

Question 7

Statement-1: The point A(1, 0, 7) is the mirror image of the point B(1, 6, 3) in the line

Statement-2: The line:

bisects the line segment joining A(1, 0, 7) and B(1, 6, 3).

Question 8

If the lines

and

intersect, then k is equal to

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Mar 29JEE & BITSAT