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In /\ABC, if (c + a + b) (a + b - c) = a...

In `/_\ABC`, if (c + a + b) (a + b - c) = ab, find the-value of `angleC`.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 6-EXERCISE
  1. If P = {4. 5},'Q = {7}. find the defined relations from P to Q.

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  2. Find the value of cos 10^@ + cos 110^@+ cos 130^@

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  3. In /\ABC, if (c + a + b) (a + b - c) = ab, find the-value of angleC.

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  4. If alpha,betabe the imaginary cube root of unity, then show that alpha...

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  5. Find the number of diagonals of a polygon having sides 10.

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  6. Show.that there will be-no term containing P^6 in the expansion of (2...

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  7. Which term of this-progression 0.004, 0.02, 0.1..... is 12.5?

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  8. Find the gradient of a straight line which is passes through the point...

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  9. Show that the points A(1,2,3) ,B(-1,-2,-1) ,C(2,3,2) and D(4,7,6) are ...

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  10. If 2f(x).+ 3f(-x) = x^2-x+1, find the value of f(1).

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  11. Evaluate:lim(xrarr0)(e^(x^2)-cosx)/x^2

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  12. Three Coins are tossed: What is the probability of getting at least on...

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  13. If mean = 10, coefficient of variation = 50%, find the standard deviat...

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  14. In three sets, A,B, C, show that (A cap B)' = A' cup B'.

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  15. If tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta),then show thatsin2t...

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  16. In any/\ABC, show that ‘c sin (A-B)/2=(a-b)cos(C/2)

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  17. Show that by mathematical induction, 3.5^(2n+1) + 2^(3n+1) is divisibl...

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  18. Ifx+iy=3/(2+costheta+i sintheta)then show that x^2 + y^2 = 4x - 3.

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  19. The sum of an infinite G.P series is 15 and the sum of the squares of ...

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  20. How many different arrangements be' possible in’EXAMINATION where two ...

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