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ARIHANT PRAKASHAN-VERY SIMILAR TEST 9-Section B
- Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...
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- An urn contains 4 white and 6 red balls. Four balls are drawn at rando...
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- Using differentials, find the approximate value of (3.68)^(3//2).
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- Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...
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- If xy log(x + y) = 1, then prove that (dy)/(dx) = -(y(x^(2)y + x +...
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- If sin 2x = (2t)/(1 + t^(2)), tan y = (2t)/(1 - t^(2)) then find (dy)/...
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- Solve (dy)/(dx) + y = cosx - sinx.
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- Find the equation of the curve passing through the point (1, 1) whose ...
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- Evaluate int(x^(2))/(x^(4)-x^(2)+12)dx.
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- Evaluate the following integrals : Evaluate int(0)^(pi//2)(xsinxcosx...
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- Find the area bounded by the curve y = x abs(x), X-axis and ordinates ...
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- The plane lx+my=0 is rotated about its line of intersection with the p...
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- Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin an...
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- Prove that |veca xx vecb|^(2) = abs(veca)^(2)abs(vecb)^(2) - (veca * v...
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- Find the vector equation of a plane which is at a distance of 6 units ...
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- If sin{cot^(-1)(x + 1)} = cos(tan^(-1)x), then find x.
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- One kind of cake requires 200 g of flour and 25 g of fat and another k...
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- Consider f:R(+) to [-5, oo) given by f(x)=9x^(2)+6x-5. Show that f i...
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- Let R be a relation on the set A of ordered pairs of positive integers...
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- Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...
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