Home
Class 12
MATHS
The chord joining the points where x= p ...

The chord joining the points where x= p and x= q on the curve `y= ax^2 + bx + c` is parallel to the tangent at the point on the curve whose abscissa is :

A

`(1)/(2)(p+q)`

B

`(1)/(2)(p-q)`

C

`(pq)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|25 Videos
  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|49 Videos
  • SOLUTIONS OF TRIANGLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|20 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|20 Videos

Similar Questions

Explore conceptually related problems

The point at which the tangent to the curve y=x^2-4x is parallel to x-axis is

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

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

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

The abscissa of the points, where the tangent to curve y=x^(3)-3x^(2)-9x+5 is parallel to X-axis are

Find the points on the curve 2a^2y=x^3-3a x^2 where the tangent is parallel to x-axis.

Find the point on the curve y=x^2-2x+3 , where the tangent is parallel to x-axis.

Find the coordinates of the point on the curve y^2=3-4x where tangent is parallel to the line 2x+y-2=0 .

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x-coordinate of the point.

When the tangent the curve y=x log (x) is parallel to the chord joining the points (1,0) and (e,e) the value of x , is

OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Exercise
  1. The equation of the tangents at the origin to the curve y^2=x^2(1+x) a...

    Text Solution

    |

  2. The coordinates of the points on the curve x=a(theta + sintheta), y=a(...

    Text Solution

    |

  3. The chord joining the points where x= p and x= q on the curve y= ax^2 ...

    Text Solution

    |

  4. Find the locus of point on the curve y^2=4a(x+asin (x/a)) where tangen...

    Text Solution

    |

  5. At what points on the curve y=x^2-4x+5 is the tangent perpendicu...

    Text Solution

    |

  6. The points of contact of the tangents drawn from the origin to the cur...

    Text Solution

    |

  7. If the area of the triangle included between the axes and any tangent ...

    Text Solution

    |

  8. The tangents to the curve x=a(theta - sin theta), y=a(1+cos theta) at ...

    Text Solution

    |

  9. The slope of the tangent to the curve y=sin^(-1) (sin x) " at " x=(3pi...

    Text Solution

    |

  10. The slope of the tangent to the curve y=cos^(-1)(cos x) " at " x=-(...

    Text Solution

    |

  11. The equation of the tangent to the curve y=e^(-|x|) at the point wher...

    Text Solution

    |

  12. The number of points on the curve y=x^(3)-2x^(2)+x-2 where tangents ar...

    Text Solution

    |

  13. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  14. The slope of the tangent to the curve y =sqrt(9-x^(2)) at the point wh...

    Text Solution

    |

  15. The slope of the tangent to the curve y=x^(2) -x at the point where th...

    Text Solution

    |

  16. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |

  17. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

    Text Solution

    |

  18. The two tangents to the curve ax^(2)+2h x y+by^(2) = 1, a gt 0 at the ...

    Text Solution

    |

  19. Let P(2, 2) and Q(1//2, -1) be two points on the parabola y^(2)=2x, Th...

    Text Solution

    |

  20. Any tangent to the curve y=2x^(5)+4x^(3)+7x+9

    Text Solution

    |