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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- FEBRUARY 2020-All Questions
- State the converse, inverse and contrapositive of the conditional stat...
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- Show that : sin^(-1)(8/(17))+sin^(-1)(3/5)=sin^(-1)(77/85)
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- Show that the points A(2,1, -1), B(0, -1, 0), C(4, 0, 4) and D(2,0,1) ...
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- If triangleABC is right angled at B , where A(5,6,4), B(4,4,1) and C(8...
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- Find the equation of the line passing through the point (3,1,2) and pe...
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- Find the distance of the point hati+2hatj-hatk from the plane vecr.(ha...
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- If e^x+e^y = e^(x+y), show that (dy)/(dx) = -e^(y-x)
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- The surface area of a spherical balloon is increasing at the rate of 2...
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- Find the apporximate value of e^(1005): given e= 2.7183
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- Evaluate: int (x^2tan^(-1)x^3)/(1+x^6) dx
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- Solve the differential equation (dy)/(dx)+y = e^(-x)
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- If f(x)= kx, 0 lt x lt 2 = 0 otherwise, is a probability density funct...
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- Show that a homogeneous equations of degree two in x and y , i.e., ax...
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- Solve the following linear programming problem: Maximize : z=150x+250y...
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- Solve the following equations by inverse method : x + 3y + 3z = 12, ...
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- In triangle ABC, if a+b+c = 2s, then prove that sin(A/2) = sqrt(((s-b)...
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- Function f(x) is continuous on its domain [-2,2],where f(x) = (sinax)/...
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- prove that : int sqrt(x^2+a^2) dx = x/2sqrt(x^2+a^2)+a^2/2log|x+sqrt(x...
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- A fair coin is tossed 8 times. Find the probability that : (1) it sho...
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- prove that : int(0)^(2a) f(x)dx = int(0)^(a) f(x)dx+int(0)^(a)f(2a-x)d...
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