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Find the coordinates of a point on the p...

Find the coordinates of a point on the parabola `y=x^2+7x+2` which is closest to the straight line `y=3x-3.`

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A DAS GUPTA-Maxima and Minima-EXERCISE
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  2. Find the shortest distance of the point (0, c) from the parabola y=x^...

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  3. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  4. Given an interior point A on the axis of the parabola y ^2 = 2px, (p >...

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  5. Find the coordinates of the point on the curve y=x/(1+x^2) where the t...

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  6. The parametric equations of the curve are x=2t(t^2+3)-3t^2, y=2t(t^2+3...

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  7. A function is defined parametrically as follows :x=t^5-5t^3-20 t+7y=4t...

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  9. A 12-cm-long wire is bent to form a triangle with one of the angles as...

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  10. The largest area of a rectangle which has one side on the x-axis and t...

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  11. Three sides of a trapezium are each equal to k cm. Find the greatest p...

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  12. A statue 4 meters high sits on a column 5.6 meters high . How far f...

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  13. A wire of length l is cut into two parts. One part is bent into a circ...

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  14. A point P is given on the circumference of a circle of radius rdot Cho...

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  15. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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