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SURA PUBLICATION-MODAL QUESTION PAPER-PART - IV
- If z = x + iy and arg((z - i)/(z + 2))= (pi)/(4). Show that x^(2) + y^...
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- If 2+iand3-sqrt2 are the roots of the equation x^(6)-13x^(5)+62x^(4)-1...
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- Find the value of tan^(-1)(-1)+cos^(-1)(1/2)+sin^(-1)((-1)/2)
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- If cot^(-1)((1)/(7))=theta, find the value of costheta.
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- For the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the centre, vertices, a...
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- Find the number of solution of the eqution tan^(-1)(x-1)+tan^(-1)x+tan...
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- Find the parametric form vector eqution and Cartesian equations of the...
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- Prove by vector method that the perpendiculars (altitudes) from the ve...
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- If a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 makes intercepts...
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- Solve the following systems of linear equation by Cramer's rule: 3x...
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- Test for consistency and if possible solve the following system of equ...
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- If z = x + iy and arg ((z-1)/(z+1))=pi/2, show that x^(2)+y^(2)-1=0.
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- Sketch the graph of sinx in [-pi/2,pi/2]andsin^(-1) in [-1, 1].
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- Find the equation of the ellipse whose eccentricity is 1/2, one of the...
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- A tunnel through a mountain for a four lane highway is to have a ell...
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- By vector method, Prove that sin(alpha-beta)=sinalphacosbeta-cosalphas...
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- Find the Vector and Cartesian equation of the plane containing the lin...
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- A conical water tank with vertex down of 12 meters height has a radius...
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- Prove that among all the rectangles of the given area, square has the ...
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- If u(x,y) = (x^(2) + y^(2))/sqrt(x+y), prove that x(del u)/(del x) + y...
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