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Find the equation of the normal at a poi...

Find the equation of the normal at a point on the curve `x^(2) = 4y`, which passes through the point (1, 2). Also, find the equation of the corresponding tangent.

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MODERN PUBLICATION-TEST PAPER 3-PROBLEM
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  6. Evaluate the following integrals int(x^2)dx/((x^2+3)(x^2+2))

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  7. Solve : dy/dx + 1 = e^(x+y)

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  8. Solve : (x + 2y^3)dy/dx = y.

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  9. Find the equation of the plane passing through the points (2,1,3), (3,...

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  10. Find the image of the point (3,-2,1) in the plane x-y+3z=2.

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  14. Find the product of matrices A and B, where A = [[-5,1,3],[7,1,-5],[1,...

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  15. Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...

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  17. If x=acos theta+bsin theta and y=a sin theta-bcos theta, then show tha...

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  18. Find the equation of the normal at a point on the curve x^(2) = 4y, wh...

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  19. Find the area of the smaller region bounded by the ellipse frac[x^2][a...

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