JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The locus of the point of intersection of the limes

x \cos \alpha+y \sin \alpha=a

and

x \sin \alpha-y \cos \alpha=b

, where

\alpha

is a variable, is

View answer and explanation

Correct option: C

x^2+y^2=a^2+b^2

Option C is correct. The locus of the point of intersection of the lines

x \cos \alpha+y \sin \alpha=a

and

x \sin \alpha-y \cos \alpha=b

, where

\alpha

is a variable, is

x^2+y^2=a^2+b^2

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