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SHARAM PUBLICATION-MODEL QUESTION PAPER-5-EXERCISE
- Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])
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- Find the value of a such that the function f defined by f(x)={((sinax...
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- Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) ...
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- If y = (sinx)^x find (dy)/(dx).
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- Find the points on the curve y = x^3 - 11x + 5 at which the equation o...
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- Evaluate intx/((x^2 + 4)) dx.
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- Evaluate int(0)^(pi//4)log(1+tanx)dx.
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- Evaluate int(sinx + cosx)/(sqrt(sin2x))dx
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- Solve dy + e^-y sin x dx = 0.
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- If the sum of two unit vectors is a unit vectors find the magnitude of...
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- Find a vector of magnitude 5 units and parallel to the resultant of ve...
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- Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]
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- Find the equation of the plane through the points (1, 2, -3), (2,3, -4...
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- If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...
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- If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...
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- Using properties of determinants, prove the following abs{:(a^2, bc, a...
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- Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...
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- int(pi//6)^(pi//3)dx/(1+sqrtcotx)
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- Solve the differential equation (x^(2)+1)(dy)/(dx)+2xy= sqrt(x^(2)+4),
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- Find a unit vector perpendicular to both of the vectors veca + vecb an...
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