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·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

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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

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

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

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

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

If a normal to the parabola y^(2)=8x at (2, 4) is drawn then the point at which this normal meets the parabola again is

If the parabola of y^2=4ax passes through the point (3,2), find the length of its latus rectum.

If the parabola y^(2) = 4ax passes through the point (3,2) , then the length of its latus rectum is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

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  2. The point of intersection of the tangents at the ends of the latus ...

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  3. ·If the normals of the parabola y^2=4x drawn at the end points of it...

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  4. From a point A, commont tangents are drawn to the circle x^2 + y^2=8 a...

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  5. The angle between a pair of tangents drawn from a point P to the hyper...

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  6. Three normals with slopes m1, m2 and m3 are drawn from a point P not o...

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  7. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

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  8. Find the equation of the normal to curve x^2=4y which passes throug...

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  9. Show that the locus of a point that divides a chord of slope 2 of the ...

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  10. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

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  11. If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k ...

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  12. Let P be a point whose coordinates differ by unity and the point does ...

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  13. Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)...

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  14. If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+...

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  15. Column I, Column II Points from which perpendicular tangents can...

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  16. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

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  17. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

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  18. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

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  19. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

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  20. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

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