List of top Mathematics Questions on Tangents and Normals asked in CUET (PG)

The tangent to the hyperbola x²-y² = 3 are parallel to the straight line 2x + y +8=0 points are

The number of common tangents that can be drawn to the circle x²+y²-4x-6y-3=0 and x²+y²+2x+2y+1=0 is

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 :