Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

Which one of the following is best condition for the plane ax + by + cz + d = 0 to intersect the x and y axes at equal angle

Options:

|a| = |b|

a = –b

a = b

a2 + b2 = 1

Correct Answer:

|a| = |b|

Explanation:

The plane a x + b y + c z + d = 0 intersects x and y axes at equal angles

Therefore |cos α| = |cos β|

⇒ |l| = |m|

⇒ |a| = |b|