Home
Class 12
MATHS
For the curve y=4x^3-2x^5,find all the ...

For the curve `y=4x^3-2x^5,`find all the points at which the tangent passes through the origin.

A

`(-2,14)`

B

`(2,14)`

C

`(2,-2)`

D

`(-2,2)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`(dy)/(dx)` at `x_(1),y_(1)` must equal to `(y_(1)-0)/(x_(1)-0)`
Therefore `2x_(1)+3=(x_(1)^(2)+3x_(1)+4-0)/(x_(1)-0)`
Hence `x_(1)^(2)=4impliesx_(1)=+-2impliesy_(1)=14,2`
`(2,14),(-2,2)`s
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

For the curve y=4x^3-2x^5 find all points at which the tangent passes through the origin.

The co-ordinates of the points on the curve y=x^(2)+3x+4 at which the tangent passes through the origin are (A) (-2,14) (B) (2,14) (C) (2,-2) (D) (-2,2)

Find the coordinates of the points on the curve y=x^2+3x+4 , the tangents at which pass through the origin.

Find the coordinates of the points on the curve y=x^(2)+3x+4, the tangents at which pass through the origin.

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

Find the point at which the tangent to the curve y=sqrt(4x-3)-2 is vertical ?

A point on the curve y=2x^(3)+13x+5x+9 the tangent at which,passes through the origin is

The tangent to the curve y=x^(2)-5x+5 . parallel to the line 2y=4x+1, also passes through the point:

RESONANCE-TEST PAPERS-MATHEMATICS
  1. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  2. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  3. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  4. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  5. If y+a=m(1)(x+3a),y+a=m(2)(x+3a) are two tangents to the parabola y^(2...

    Text Solution

    |

  6. If f(x)=lim(m->oo) lim(n->oo)cos^(2m) n!pix then the range of f(x) is

    Text Solution

    |

  7. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

    Text Solution

    |

  8. Q. For every integer n, let an and bn be real numbers. Let function f:...

    Text Solution

    |

  9. Let a and b are real numbers such that the function f(x)={(-3ax^(2)-2,...

    Text Solution

    |

  10. If both Lim(xrarrc^(-))f(x) and Lim(xrarrc^(+))f(x) exist finitely and...

    Text Solution

    |

  11. If both Lim(xrarrc^(-))f(x) and Lim(xrarrc^(+))f(x) exist finitely and...

    Text Solution

    |

  12. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

    Text Solution

    |

  13. In a Delta ABC, A -= (alpha, beta), B -= (1, 2), C -= (2,3) and point ...

    Text Solution

    |

  14. Let f(x) be real valued continuous function on R defined as f(x)=x^(2)...

    Text Solution

    |

  15. Let f(x) be a real valued continuous function on R defined as f(x)=...

    Text Solution

    |

  16. Let all chords of parabola y^(2)=x+1 which subtends right angle at (1,...

    Text Solution

    |

  17. lim(xrarr(pi)/2)(1-sinxsin3xsin5x.sin7x)/(((pi)/2-x)^(2)) is k then k/...

    Text Solution

    |

  18. If derivative of y=|x-1|^(sinx) at x=-(pi)/2 is (1+api)^(b) then value...

    Text Solution

    |

  19. sin^(-1)(sin10) is a+bpi then |a+b| is

    Text Solution

    |

  20. f:[0,2pi]rarr[-1,1] and g:[0,2pi]rarr[-1,1] be respectively given by f...

    Text Solution

    |