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Find the equations of normal to the para...

Find the equations of normal to the parabola `y^2=4a x` at the ends of the latus rectum.

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The equation of the tangent to the parabola y^(2)=4x at the end of the latus rectum in the fourth quadrant is

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Q and Q^(prime), then Q Q^(prime) is (a)10 a (b) 4a (c) 20 a (d) 12 a

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Qa n dQ^(prime), then QQ ' is 10 a (b) 4a (c) 20 c (d) 12 a

Find the equations of the tangent and normal to the parabola y^(2) =6x at the positive end of the latus rectum

Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at the positive end of the latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola y^(2) = 16x to the ends of the latus rectum.

If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)+(y+2)^(2)=r^(2) , then the value of r^(4) is equal to

·If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2 (y+2)^2=r^2 , then the value of r^2 is

·If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2 (y+2)^2=r^2 , then the value of r^2 is

The triangle formed by the tangents to a parabola y^2= 4ax at the ends of the latus rectum and the double ordinate through the focus is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. If y=x+2 is normal to the parabola y^2=4a x , then find the value of a...

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  3. Find the equations of normal to the parabola y^2=4a x at the ends of t...

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  4. The coordinates of the ends of a focal chord of the parabola y^2=4a x ...

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  5. If t1a n dt2 are the ends of a focal chord of the parabola y^2=4a x , ...

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  6. If the length of focal chord of y^2=4a x is l , then find the angle be...

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  7. If length of focal chord P Q is l , and p is the perpendicular distanc...

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  8. Find the equation of the tangent to the parabola y^2=8x having slope 2...

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  9. Find the equation of tangents of the parabola y^2=12 x , which passes ...

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  10. If the line y=3x+c touches the parabola y^2=12 x at point P , then fin...

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  11. Find the equation of the tangent to the parabola y=x^2-2x+3 at point (...

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  12. Find the equation of the tangent to the parabola x=y^2+3y+2 having slo...

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  13. Find the equation of tangents drawn to the parabola y=x^2-3x+2 from th...

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  14. If a tangent to the parabola y^2=4a x meets the x-axis at T and inters...

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  15. The parabola y^2=4x and the circle having its center at (6, 5) inters...

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  16. The tangents to the parabola y^2=4a x at the vertex V and any point P ...

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  17. Show that xcosalpha+ysinalpha=p touches the parabola y^2=4a x if pco...

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  18. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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  19. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  20. If the lines L1 and L2 are tangents to 4x^2-4x-24 y+49=0 and are norma...

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