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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]
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- Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...
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- If the magnitude of the difference of two unit vectors is sqrt3 then f...
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- Using vector method prove that cosA=(b^2+c^2-a^2)/(2bc)
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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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- Solve the following by matrix method x-y+z=4, 2x+y-3z=0, x+y+z=2
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- In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...
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- Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...
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- Prove that the two lines whose direction cosines are connected by the ...
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- Integrate the following inte^(cos^2x)sin2x dx
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- Solve the differential equation (dy)/(dx)= (y-x+1)/(y+x+5).
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- Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)
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- If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)), then fin...
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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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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- Minimize:Z=20x1+10x2 "Subject to": x1+2x2 le 40 3x1 -x2 ge 30 4x1+3x2 ...
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- If y=x sin^-1x+xcos^-1x, then what is dy/dx?
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- Give an example of a relation which is symmetric and anti-symmetric.
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- What is the value of int0^1sin^2tdt+int0^1cos^2tdt-int0^1dr?
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- What is the principal value of sin^(-1)(sin((2pi)/3))?
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