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Find the point on the curve y = 2x^(2) -...

Find the point on the curve `y = 2x^(2) - 6x - 4` at which the tangent is parallel to the x-axis

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The correct Answer is:
`((3)/(2), (-17)/(2))`
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RS AGGARWAL-APPLICATIONS OF DERIVATIVES-Exercise 11H
  1. Find the equation of the tangent to the curve sqrtx+sqrt y = a at the ...

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  2. Show that the equation of the tangent to the hyperbola (x^(2))/(a^(2))...

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  3. Find the equation of the tangent to the curve y = (sec^(4) x - tan^(4)...

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  4. Find the equation of the normal to the curve y = (sin 2x + cot x + 2)^...

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  5. Show that the tangents to the curve y = 2x^(3) - 4 at the points x = ...

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  6. Find the equation of the tangent to the curve x^(2) + 3y = 3, which is...

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  7. At what points on the curve x^2+y^2-2x-4y+1=0 , the tangents are paral...

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  8. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

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  9. Prove that the tangents to the curve y=x^2-5+6 at the points (2,0)a n ...

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  10. The co-ordinates of the points on the curve y=x^(2)+3x+4 at which the ...

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  11. Find the point on the curve y=x^3-11 x+5 at which the equation of tang...

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  12. Find the equation of the tangents to the curve 2x^(2) + 3y^(2) = 14, p...

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  13. The equation of the tangent to the curve x^2+2y=8 which is the perpend...

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  14. Find the point on the curve y = 2x^(2) - 6x - 4 at which the tangent i...

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  15. Find the point on the parabola y=(x-3)^2, where the tangent is p...

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  16. Show that the curves x = y^2 and xy = k cut at right angles; if 8k^2 =...

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  17. Show that the curves x y=a^2a n dx^2+y^2=2a^2 touch each other

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  18. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

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  19. Find the equation of the tangent to the curve x=theta+sin theta ,y=1+c...

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  20. Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=p...

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