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Statement I The curve y = x^2/2+x+1 is s...

Statement I The curve `y = x^2/2+x+1` is symmetric with respect to the line `x = 1`. because Statement II A parabola is symmetric about its axis.

A

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

B

Statement I is true, Statement II is true, Statement II is not a corrected explanation for Statement I

C

Statement is true , Statement II is false

D

Statement I is false , Statement II is true

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A
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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

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  3. Statement I The curve y = x^2/2+x+1 is symmetric with respect to the l...

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

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  5. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

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  6. A parabola has the origin as its focus and the line x=2 as the directr...

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  7. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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

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

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  10. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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  11. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  12. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  13. The shortest distance between line y-x=1 and curve x=y^2 is

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  14. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  15. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  16. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

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  17. The slope of the line touching the parabolas y^2=4x and x^2=-32y is

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

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  19. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

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  20. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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