Home
Class 12
MATHS
If the tangent to the curve y=2x^2-x+1 a...

If the tangent to the curve `y=2x^2-x+1` at a point P is parallel to y=3x+4, the co-ordinates of P are

A

(2,1)

B

(1,2)

C

(-1,2)

D

(2,-1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

y^(2) = 4x is a curve and P, Q and r are three points on it, where P = 1,2, Q = (1/4, 1) and the tangent to the curve at R is parallel to the chord PQ of the curve, then coordinates of R are

Show that the tangent to the curve 8y=(x-2)^(2) at the point (-6, 8) is parallel to the tangent to the curve y=x+(3//x) at the point (1, 4).

Write the coordinates of the point at which the tangent to the curve y=2x^2-x+1 is parallel to the line y=3x+9 .

The point at which the tangent to the curve y=2x^(2)-x+1 is parallel to y=3x+9 will be

If the tangent to the curve y=6x-x^2 is parallel to line 4x-2y-1=0, then the point of tangency on the curve is

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

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. The points on the curve x^2=3-2y , where the tangent is parallel to x+...

    Text Solution

    |

  2. If the tangent to the curve y=6x-x^2 is parallel to line 4x-2y-1=0, t...

    Text Solution

    |

  3. If the tangent to the curve y=2x^2-x+1 at a point P is parallel to y=3...

    Text Solution

    |

  4. Co-ordinates of a point on the curve y=x log x at which at normal is p...

    Text Solution

    |

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

    Text Solution

    |

  6. The fixed point P on the curve y=x^(2)-4x+5 such that the tangent at P...

    Text Solution

    |

  7. The tangent to the curve x^2+y^2-2x-3=0 is parallel to X-axis at the p...

    Text Solution

    |

  8. The point (s) on the curve y^3+3x^2=12y. Where the tangent is parallel...

    Text Solution

    |

  9. The tangent to the curve y=ax^2+bx at (2,-8) is parallel to X-axis the...

    Text Solution

    |

  10. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

    Text Solution

    |

  11. The equation of normal to the curve x=(1)/(t), y=t-(1)/(t)" at "t=2 is

    Text Solution

    |

  12. The equation of tangent to the curve x=a sec theta, y =a tan theta" at...

    Text Solution

    |

  13. Equations to the tangent and normal to curve y=x^3+2x^2-4x-43 at the p...

    Text Solution

    |

  14. If the normal line at (1, -2) on the curve y^2=5x-1 is ax - 5y +b=0 th...

    Text Solution

    |

  15. The equation of normal to the curve x^(2//3)+y^(2//3)=a^(2//3) at (asi...

    Text Solution

    |

  16. The equation of the tangent to the curve y=x+4/(x^(2)),l thant is para...

    Text Solution

    |

  17. Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...

    Text Solution

    |

  18. The equation of the tangent to the curve y=b e^(-x//a) at the point wh...

    Text Solution

    |

  19. The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

    Text Solution

    |

  20. The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

    Text Solution

    |