Assertion (A): All chords of the curve 4...

Assertion (A): All chords of the curve `4x^(2)+y^(2)-x+4y=0`, which subtends right angle at the origin passes through the point `((1)/(5), -(4)/(5))`
Reason (R ) : Chords of any curve, substending right angle at origin passes through a fixed point.

A

Both A&R are true R is correct explanation of A

B

Both A&R are true R is not correct explanation of A

C

A is true R is false

D

A is false R is true

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

All chords of a curve 3x^(2)-y^(2)-2x+4y=0 which subtends a right angle at origin passing through fixed point

The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 which substends a right angle at the origin is

The chords of the curve 3x^(2)-y^(2)-2x+4y=0 subtend a right angle at the origin. Prove that all such chords are concurrent at a point.

Find the condition for the chord lx + my=1 of the circle x^(2)+y^(2)=a^(2) to subtend a right angle at the origin.

The locus of midpoints of chords of the circle x^(2)+y^(2)-2px=0 passing through the origin is

The chord through (1, -2) cuts the curve 3x^(2)-y^(2)-2x+4y=0 in P and Q. Then PQ subtends at the origin an angle of