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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

A

Statement I is true, statement II is true: statement II is a correct explanation for statement I

B

Statement 1 is true,
Statement 2 is true,
Statement 2 is a correct explanation for statemennt 1

C

Statement 1 is true,statement 2 is true,
Statement 2 is not a correct explanation for statement 1.

D

Statement 1 is true,
Statement 2 is false.

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

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  2. a triangle A B C with fixed base B C , the vertex A moves such that co...

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  3. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

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  4. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  5. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  6. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  7. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

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  8. Equation of the ellipse whose axes are the axes of coordinates and ...

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  9. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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

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  11. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

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  12. the equation of the circle passing through the foci of the ellip...

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  13. A vertical line passing through the point (h, 0) intersects the ellips...

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  14. The locus of the foot of prependicular drawn from the center of the el...

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  15. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  16. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

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  17. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

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  18. If the tangents to the ellipse at M and N meet at R and the normal to ...

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  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

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  20. Let F1(x1,0) and F^(2)(x2,0) for x1lt0 andx2gt0, be the foci of the el...

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