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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 PUBLICATION-CONIC SECTIONS-All Questions
  1. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

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

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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. Statement 1 : Slopes of tangents drawn from (4, 10) to the parabola ...

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

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

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

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

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  14. Does equation (5x-5)^(2)+(5y+10)^(2)=(3x+4y+5)^(2) represents a parabo...

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

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

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

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  18. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

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  19. If the locus of the middle of point of contact of tangent drawn to the...

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  20. The minimum area of circle which touches the parabolas y=x^2+1 and y^2...

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