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Prove that the line joining the orthocen...

Prove that the line joining the orthocentre to the centroid of a triangle formed by the focal chord of a parabola and tangents drawn at its extremities is parallel to the axis of the parabola.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the...

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

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

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

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

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

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

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

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

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  10. Statement 1: In the parabola y^2=4a x , the circle drawn the taking th...

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  11. The vertices A,B, and C of a variable right triangle lie on a parabol...

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  12. Show that the common tangents to the parabola y^2=4x and the circle x^...

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  13. Consider a curve C : y^2-8x-2y-15=0 in which two tangents T1a n dT2 ar...

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  14. Statement 1: The line a x+b y+c=0 is a normal to the parabola y^2=4a x...

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  15. Statement 1: The length of focal chord of a parabola y^2=8x making on ...

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  16. Statement 1: (5x-5)^2+(5y+10)^2=(3x+4y+5)^2 is a parabola. Statement 2...

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  17. If the bisector of angle A P B , where P Aa n dP B are the tangents to...

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  18. If d is the distance between the parallel tangents with positive slop...

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  19. If P(t^2,2t),t in [0,2] , is an arbitrary point on the parabola y^2=4x...

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  20. If the parabola y=a x^2-6x+b passes through (0,2) and has its tangent ...

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