USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0
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- Find the co-ordinates of the foot of the perpendicular from the point ...
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- Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- Show that the sum of the intercepts on the coordinate axes of any tang...
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- Find frac[dy][dx] if y=([sinx+x^2]/[cot2x]).
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- Integrate intfrac[(sin^2x+cos2x)][cos^2x)]dx
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- Solve the following differential equations (x+tany)dy= sin 2y ""dx
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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- If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...
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- Solve the following LPP graphically Maximizez=20x+10y Subject to x+2...
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- A variable plane meets the coordinate axes at A, B, C and is at a cons...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...
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- If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...
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- Solve the following system of equations by matrix method x+2y+3z=8, 2x...
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- What is the number of solution of the following system: 2x+3y=6, x+y...
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- What is int(2x^2+3)/((x^2-1)(x^2+4))dx?
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