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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 13-EXERCISE
- If y = x/(x+a),show that x dy/dx = y (1- y)
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- A box contains 50 articles of which 4 are defective. One article is ta...
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- Find the mean deviation of 36, 72, 46,60, 42, 45, 53. 46, 51, 49.
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- For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap ...
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- If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...
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- In a triangle ABC if a cos^2(C/2)+c cos^2(A/2)=((3b)/2)show that sides...
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- Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible...
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- If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3
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- if the ratio of the sum of n terms of two A Ps is (3n + 5) : (5n - 9)...
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- The coefficient of three consecutive terms in the expansion of (1+x)^n...
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- Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always p...
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- Find the equations of straight line which are perpendicular to the str...
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- y = 2x is a chord of the circle x^2 + y^2 -10 x = 0. Find the equation...
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- Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line se...
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- Evaluate :lim(xrarroo)[(1^(1//x)+2^(1//x)+3^(1//x))/3]
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- Differentiate x^(-2/3) with respect to x, with behalf of definition.
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- Prove that sqrt3is irrational, (use the method of contradiction)
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- If x and y are odd integers, then xy is also an odd integer r examine ...
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- The probability of occurrence of at least one event of two events X an...
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- If the co-efficient of variation of two frequeny distribution are 58% ...
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