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If three normals are drawn from the poin...

If three normals are drawn from the point `(c, 0)` to the parabola `y^(2)= x` , then-

A

` c lt (1)/(2) `

B

` c ge 2 `

C

` c lt 2 `

D

` c ge (1)/(2)`

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7
  1. If the line ax+by +c =0 is a normal to the curve xy=1 at the point (...

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  2. Two equal parabolas have the same vertex and their axes are at right a...

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  3. If three normals are drawn from the point (c, 0) to the parabola y^(2)...

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  4. If tangents are drawn from the origin to the curve y= sin x , then th...

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  5. The line, among the following, that touches the parabola y^(2) = 4ax ...

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  6. If y= 3x is a tangent to a circle with centre (1, 1) , then the othe...

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  7. From any point P(x, y) of the curve y= x^(m) ( m gt 0 , x gt 0) per...

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  8. The area enclosed between the curve y= log(e)(x+e) and the coordinat...

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  9. Let f(x) be non- negative continuous function such that the area bound...

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  10. If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y ...

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  11. The locus of the point of intersection of a pair of perpendicular tang...

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  12. The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...

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  13. If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...

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  14. The area (in square unit ) bounded by the curves y= |x| - 1 and y= ...

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  15. If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...

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  16. The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...

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  17. The least value of the sum of any positive real number and its recipro...

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  18. The function f(x)= x^((1)/(x)) is-

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  19. If the chord of contact of tangents from a point on the circle x^(2) +...

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  20. The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...

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