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Each question has four choices a, b, c and d, out of which only one is correct. Each question contains Statement 1 and Statement 2. Find the correct answer. Statement 1 : Slopes of tangents drawn from (4, 10) to theparabola `y^2=9x` are and 1/4 and 9/4 . Statement 2 : Two tangents can be drawn to a parabola from any point lying outside the parabola.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Statement 1: Through (lambda,lambda+1) , there cannot be more than one...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

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

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

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