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ARIHANT PRAKASHAN-VERY SIMILAR TEST 5-SECTION B
- Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...
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- A die is rolled until a 6 is obtained. What is the probability that ...
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- Let A=[{:(2,-1),(3,4):}],B=[{:(5,2),(7,4):}]andC=[{:(2,5),(3,8):}]. F...
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- Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2
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- The probability that A hits a target is 1/3 and the probability that B...
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- If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0.
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- Verify Rolle.s theorem for the function f(x)=x^(2)-3x+2 in the interva...
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- If x=cos^-1(1/(sqrt(1+t^2))), y=sin^-1(1/(sqrt(t^2+1))) then dy/dx is ...
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- Find the equation of the normal at a point on the curve x^(2) = 4y, wh...
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- Find (dy)/(dx), if y = k tan^(-1) ((y)/(x)).
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- Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is ...
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- Reduce x (dy)/(dx) + y = xy^(3) to linear differential equation.
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- Evaluate int [ (1)/( "In" x ) - (1)/(("In" x)^2) ]dx.
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- Find the differential equation for the family of curve y= a sin^(-1) x...
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- Solve (dy)/(dx) = e^("sin"^(-1) x). (sin^(-1) x)/( sqrt(1-x^(2) ).
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- Find the area bounded by the curve y=2 x -x^(2) and the straight line ...
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- If the vectors a hat(i) + hat(j) + hat(k),hat(i) + b hat(j) + hat(k) a...
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- If a is any vector, then find | hat(i) xx overset(to)(a) |^(2) +|hat(j...
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- Find the point of intersection of the line (x-1)/(2) = (y-2)/( -3) = (...
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- Answer any three questions (e) Find the foot of perpendicular drawn ...
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