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Question

Mathematics Question on Tangents and Normals

Given below are two statements:
Statement I: The locus of the middle points of chords of the circle x2+ y2 = a2 which are parallel to the line y=mx is x-my = 0.
Statement II: The two tangents drawn from (4, 2) to x2 + y2 = 10 are perpendicular.
In the light of the above Statements, choose the most appropriate answer from the options given below :

A

Both Statement I and Statement II are correct

B

Both Statement I and Statement II are incorrect

C

Statement I is correct but statement II is incorrect

D

Statement I is incorrect but statement II is correct

Answer

Both Statement I and Statement II are incorrect

Explanation

Solution

The correct answer is(B): Both Statement I and Statement II are incorrect