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UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
- Solve: tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)(8/31).
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- If A=([2,-1],[1,3]) then show that A^2-5A+7I2=0 hence find A^(-1)
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- Solve by Cramer's rule: x+3y= 4,y+3z = 7, 4x+z= 6.
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- Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2.
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- If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...
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- Evaluate: int (xdx)/(x^4-x^2+1)
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- Solve: ydx-(x+2y^2)dy=0.
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- In a certain culture the rate of increment of bacterial at any instant...
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- The position vectors of four points A,B,C and D are 4hati+8 hat j+12ha...
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- If a vector 2 i ^ +3 j ^ +8 k ^ is perpendicular to the vecto...
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- Evaluate: overset(pi/4)underset(0)intlog(1+tan theta)d theta.
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- find the value of overset(2)underset(1)int 5x^2dx.
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- A man is known to speak the truth 3 out of 4 times. HE throws an unbia...
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- If the sum of the mean and variance of a binomial distribution for 5 r...
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- Solve the following linear programming problem by graphical method and...
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- Using calculus, show that the maximum value of the function (1/x)^x is...
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- Using integration, prove that the area of the closed region bounded by...
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- Solve: xdy-ydx= sqrt(x^2+y^2)dx.
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- Find the shortest distance between the straight lines vecr = -4hati+...
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- A variable plane is at a constant distance p from the origin and meets...
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