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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find the image of the point (3,-2,1) in the plane x-y+3z=2.
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- Prove the following by vector method. The diagonals of a rhombus are a...
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- Prove that intdx/((x-1)^2(x+2))=1/9ln abs((x+2)/(x-1))-1/(3(x-1))+c
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- int0^pi((xtanx)/(secx+tanx))dx
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- Solve: (1+x^2)dy/dx+2xy-x^3=0
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- Find (dy)/(dx) if x=(3at)/(1+t^3), y=(3at^2)/(1+t^3) at t=1/2
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- If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...
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- Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...
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- If A=[(0,1,0),(-1,0,2),(0,0,1)], then show that A^3-A^2+I3=[(2,-1,0),(...
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- If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...
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- Solve the following LPP graphically: Maximize: Z=4x1+3x2 subject to x1...
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- Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.
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- A line makes angles alpha, beta, gamma, delta with the four main diago...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- The equation of a plane passing through (1, 1, 2) and parallel to x + ...
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- What is the value of int0^100[tan^(-1)x]dx ?
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- What is the trigonometric function f(x) such that f''(x)+f(x)=0?
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- Write whether the following statements are true or false. "sec"^(-1)...
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- What is the minimum value of |[sin x ,cosx], [-cosx, 1+ sinx]|?
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- What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...
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