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A circumcircle is a circle which passes ...

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of `Delta` ABC is

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ALLEN -TEST PAPER-MATHS
  1. Which of the following expression gives rational values ?

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  2. The equation has

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  3. A circumcircle is a circle which passes through all vertices of a tria...

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  4. A circumcircle is a circle which passes through all vertices of a tria...

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  5. If sec theta+tan theta=(1)/(2) The value of sec theta=

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  6. If sec theta+tan theta=(1)/(2) The value of tan theta =

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  7. If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...

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  8. If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...

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  9. Let f(x)=Sigma(i=1)^(n) (x-xi)^2, where xi are real coefficients , the...

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  10. If r lt s lt p are in arithmetic progression, then both roots of the q...

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  11. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

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  12. If a,b,c are in A.P., then a^2(b+c)+b^2(c+a)+c^2(a+b) is equal to

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  13. If |3x-2|+|3x-4|+|3x-6|ge12, then which of the following is/are incorr...

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  14. Match list-I with list-II and select the correct anser using the code ...

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  15. Consider the equation x^2+p|x|+1=0, where p is real coefficient Matc...

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  16. Let f(x)=(x^2-11x+18)/(x^2-7x+12) Match List-I with List-II and sele...

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  17. fn(x)=(underset(r=1)overset(n)Sigmasin(rx))/(underset(r=1)overset(n)Si...

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  18. If 2p=x+1/x and 2q=y+1/y, then the value of ((pq+sqrt((p^2-1)(q^2-1)))...

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  19. Let f(x)=(x^2-ax-2)/(x^2+x+1) such that -3lt f(x)lt 2AA x in R and com...

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  20. Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum valu...

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