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Find dy/dx if y^2 = x...

Find `dy/dx if y^2 = x `

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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

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  2. ABCD and EFGC are squares and the curve y=ksqrtx passes through the or...

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  3. Find dy/dx if y^2 = x

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  4. The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=...

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  5. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

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  6. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of int...

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  7. Evaluate int 18x^2 dx.

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  8. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

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  9. Evaluate int 22x^2 dx.

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  10. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  11. Evaluate int 23x^2 dx.

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  12. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  13. From a point (sintheta,costheta), if three normals can be drawn to the...

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  14. If two different tangents to y^2=4x are the normals to x^2=4 by, then

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  15. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  16. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  17. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  18. Find the length of the side of an equilateral traingle inscribed in th...

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  19. Let C be a circle with center (0,1) and radius unity. P is the parabol...

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  20. Evaluate int 24x^2 dx.

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