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Find the equation to the circle whose pa...

Find the equation to the circle whose parametric equations are,
`x = (1)/(2)(1+5 cos theta), y = (1)/(2)(-2 + 5sin theta)`

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. The sum to n terms of an A.P. is n^(2). Find the common difference.

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  2. If the slope of the line joining the points (2k,-2) and (1,-k) be (-2)...

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  3. Find the equation to the circle whose parametric equations are, x = ...

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  4. Find the equation- of the porabola whose co-ordinates of the vertex an...

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  5. Find the the co-ordinates of the point on the ellipse x^2 + 2y^2 =4 wh...

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  6. Show that the eccentricities of the two hyperbolas x^2/16-y^2/9=1and x...

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  7. Find the co-ordinates of the point of trisection of the line segment j...

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  8. show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3

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  9. If f(x)=x|x|,prove that f'(x)=2|x|.

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  10. if lim(xrarra)f(x)=lim(xrarra)g(x),then whether f(x)=g(x) is always tr...

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  11. From the following array, find out the mean deviation. 7,9,16,24,26,3...

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  12. Define ‘mutually exclusive’ and ‘mutually exhustive’ events and give e...

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  13. Two dice are thrown simultaneously. Find the probability that the sum ...

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  14. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  15. Find the domain of definition of f(x)=loge ((1-x)/(1+x)) Further show ...

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  16. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  17. Prove that tan 20^@tan 40^@ tan 60^@ tan 80^@ = 3

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  18. If a sinalpha+bcosalpha=c and a cosecalpha+bsecalpha=c show thatsin2al...

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  19. Prove that 4sin27^@=sqrt(5+sqrt5)-sqrt(3-sqrt5)

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  20. Solve :tanx+tany=1,x+y=pi//4

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