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Find the equation of the tangent to the curve `y=sqrt(3x-2)`which is parallel to the line `4x-2y + 5 =0`.

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If we differentiate the equation of curve we get slope of tangent at `(x,y)`
`y'=3/(2sqrt(3x−2))`
but tangent is parallel to line `4x-2y+5=0` there fore slope is `2`
that is `3/(2sqrt(3x−2))=2` ...
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NCERT-APPLICATION OF DERIVATIVES-EXERCISE 6.3
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  4. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

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  5. Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2 at x= 1...

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  6. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

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  7. Find the slope of the tangent to the curve y=3x^4-4xat x = 4.

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  8. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

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  10. Find the slope of the tangent to the curve y=x^3-3x+2 at the point wh...

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  12. Find the point on the curve y = (x - 2)^(2) at which the tangent is pa...

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  13. Find the point on the curve y=x^3-11 x+5at which the tangent is y = x...

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  14. Find the equation of the normals to the curve y=x^3+2x+6which are par...

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  15. Prove that the curves x=y^2and x y = k cut at right angles* if 8k^2=1...

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  16. Find the equations of the tangent and normal to the hyperbola (x^2)/(...

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  17. Find the equation of the tangent to the curve y=sqrt(3x-2)which is par...

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  18. The slope of the normal to the curve y=2x^2+3sin x at x = 0is(A) 3 (B...

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  19. The line y = x + 1is a tangent to the curve y^2=4xat the point(A) (1...

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