class 11

Math

Co-ordinate Geometry

Conic Sections

Given : A circle, $2x_{2}+2y_{2}=5$and a parabola, $y_{2}=45 x$.Statement - I : An equation of a common tangent to these curves is $y=x+5 $Statement - II : If the line, $y=mx+m5 (m=0)$is their common tangent, then m satisfies $m_{4}−3m_{2}+2=0.$

- Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I
- Statement -I is True; Statement -II is False.
- Statement -I is False; Statement -II is True
- Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I