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A parabola y=a x^2+b x+c crosses the x-a...

A parabola `y=a x^2+b x+c` crosses the x-axis at `(alpha,0)(beta,0)` both to the right of the origin. A circle also passes through these two points. The length of a tangent from the origin to the circle is: (a) `sqrt((b c)/a)` (b) `a c^2` (c) b/a (d) `sqrt(c/a)`

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A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) both to the right of the origin. A circle also pass through these two points. The length of a tangent from the origin to the circle is sqrt((b c)/a) (b) a c^2 (c) b/a (d) sqrt(c/a)

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Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

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The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

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RESONANCE DPP ENGLISH-CONIC SECTIONS-All Questions
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