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Statement 1: An equation of a common ...

Statement 1: An equation of a common tangent to the parabola `y^2=16sqrt(3)x` and the ellipse `2x^2+""y^2=""4""i s""y""=""2x""+""2sqrt(3)` . Statement 2: If the line `y""=""m x""+(4sqrt(3))/m ,(m!=0)` is a common tangent to the parabola `y^2=""16sqrt(3)x` and the ellipse `2x^2+""y^2=""4` , then m satisfies `m^4+""2m^2=""24` . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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

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  3. Statement 1: An equation of a common tangent to the parabola y^2=16...

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  4. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

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  5. Statement-1: The slopw of the tangent at any point P on a parabola, wh...

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  6. Statement 1 : The line x-2y=2 meets the parabola, y^2 + 2x = 0 only at...

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  7. The point of intersection of the normals to the parabola y^2=4x at the...

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  8. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  9. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

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  10. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

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  11. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

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  12. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  13. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

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  14. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

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  15. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

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  16. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

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  17. P and Q are two distinct points on the parabola, y^2 = 4x with paramet...

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  18. If the common tangents to the parabola x^2 = 4y and the circle x^2 + y...

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  19. If y=mx+c is the normal at a point on the parabola y^(2)=8x whose foca...

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  20. The radius of a circle, having minimum area, which touches the curve y...

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