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Two parabolas have the same focus. If th...

Two parabolas have the same focus. If their directrices are the x- and the y-axis, respectively, then the slope of their common chord is `+-1` (b) `4/3` (c) `3/4` (d) none of these

A

`pm1`

B

`4/3`

C

`3/4`

D

None of these

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The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

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lx +my = 1 is the equation of the chord PQ of y^(2) = 4x whose focus is S. If PS and QS meet the parabola again at R and T respectively, then slope of RT is (a) -1/m (b) 1/m (c) 2/m (d) none of the above

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is 6 (b) 4 (c) 3 (d) none of these

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ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two parabolas have the same focus. If their directrices are the x- and...

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  2. about to only mathematics

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  3. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

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  4. The axis of a parabola is along the line y=x and the distance of its v...

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  5. about to only mathematics

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  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

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  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

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  14. If a parabola has the origin as its focus and the line x = 2 as the ...

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  15. about to only mathematics

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  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  18. about to only mathematics

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  19. about to only mathematics

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  20. about to only mathematics

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  21. about to only mathematics

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