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If the normal drawn on the curve y = x^(...

If the normal drawn on the curve `y = x^(2) +4` at point (1, 5) makes an angle `theta` from X-axis then show that:
`tan theta = - 1/2`

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NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6e
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  2. Find the equation of the normal to the curve y = 5x + x^2 which makes ...

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  3. Find the equation of normal to the curve y(x-2)(x-3)-x+7=0 at that poi...

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  4. Find the equation of normal to the curve x = at^(2), y=2at at point 't...

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  5. Find the equation of the normal to the curve x = acostheta and y = b s...

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  6. Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^...

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  7. Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y...

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  8. (i) Find the co-ordinates of the points on the curve xy = 16 at which ...

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  9. Find the equation of normal at point (4, 3) for the hyperbola 3x^(2) ...

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  10. Find the equation of normal to the curves x=t^2, y=2t+1 at point

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  11. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

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  12. If the normal at point 't' of the curve xy = c^(2)meets the curve ag...

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  13. Find the area erea angle which made by the tangent to the curve y(2a-x...

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  14. Find the co-ordinates of the point on the curve y=x^(3)+3x^(2)-4x-12 a...

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  15. If the normal drawn on the curve y = x^(2) +4 at point (1, 5) makes an...

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  16. Find the equation of normal of the curve 2y= 7x - 5x^(2) at those poin...

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