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The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) ...

The line`2px+ysqrt(1-p^(2))=1(abs(p)lt1)` for different values of p, touches a fixed ellipse whose exes are the coordinate axes. Q. The locus of the point of intersection of prependicular tangents of the ellipse is

A

An ellipse of eccentricity `2/sqrt3`

B

An ellipse of eccentricity `sqrt3/2`

C

Hyperbola of eccentricity 2

D

a hyperbola eccentricity `sqrt2`

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KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
  1. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

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  2. Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. T...

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  3. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

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  4. If f: R to R, g , R to R be two funcitons, and h(x) = 2 "min" {f(x) - ...

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  5. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 b. 2 c. 2s...

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  6. A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...

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  7. If n is a natural number,then

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  8. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

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  9. Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...

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  10. For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......

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  11. If a, b and c are distinct positive numbers, then the expression (a + ...

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  12. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

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  13. For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...

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  14. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

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  15. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  16. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

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  17. A person goes to office either by car, scooter, bus or train probabili...

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  18. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

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  19. If x,y andz are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6...

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  20. A variable point P on the ellipse of eccentricity e is joined to the f...

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