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If y=m1x+c and y=m2x+c are two tangent...

If `y=m_1x+c` and `y=m_2x+c` are two tangents to the parabola `y^2+4a(x+a)=0` , then (a)`m_1+m_2=0` (b) `1+m_1+m_2=0` (c)`m_1m_2-1=0` (d) `1+m_1m_2=0`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  2. The tangent at any point P onthe parabola y^2=4a x intersects the y-ax...

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  3. If y=m1x+c and y=m2x+c are two tangents to the parabola y^2+4a(x+a)=...

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  4. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn ...

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  5. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y2=8...

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  6. A line of slope lambda(0 lt lambda lt 1) touches the parabola y+3x^2=...

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  7. If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to...

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  8. The straight lines joining any point P on the parabola y^2=4a x to the...

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  9. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  10. A tangent is drawn to the parabola y^2=4 x at the point P whose abscis...

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  11. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) ...

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  12. From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the...

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  13. A line A B makes intercepts of lengths a and b on the coordinate axes....

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  14. Prove that the line joining the orthocentre to the centroid of a tr...

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  15. A is a point on the parabola y^2=4a x . The normal at A cuts the parab...

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  16. The equation of the line that touches the curves y=x|x| and x^2+(y-2)^...

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  17. Let PQ be a chord of the parabola y^2=4x. A circle drawn with PQ as a...

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  18. Statement 1: Through (lambda,lambda+1) , there cannot be more than one...

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  19. Each question has four choices a, b, c and d, out of which only one is...

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  20. Statement 1: The line joining the points (8,-8)a n d(1/2,2), which are...

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