Home
Class 12
MATHS
The tangent to y=a x^2+b x+7/2a t(1,2) i...

The tangent to `y=a x^2+b x+7/2a t(1,2)` is parallel to the normal at the point `(-2,2)` on the curve `y=x^2+6x+10 ,` then `a=-1` b. `a=1` c. `b=5/2` d. `b=-5/2`

A

a=1

B

a=-1

C

b=-5/2

D

b=5/2

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

Similar Questions

Explore conceptually related problems

The tangent to y=ax^(2)+bx+(7)/(2) at (1,2) is parallel to the normal at the point (-2,2) on the curve y=x^(2)+6x+10, then a a=-1 b.a=1 c.b=(5)/(2) d.b=-(5)/(2)

The tangent to y=ax^(2)+bx+(7)/(2) at (1,2) is parallel to the normal at the point (-2,2) on the curve y=x^(2)+6x+10, Find the value of a and b .

The tangent to y = ax ^(2)+ bx + (7 )/(2) at (1,2) is parallel to the normal at the point (-2,2) on the curve y = x ^(2)+6x+10. Then the vlaue of a/2-b is:

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

If the normal line at (1, -2) on the curve y^2=5x-1 is ax - 5y +b=0 then the values of |a+b| is

For the curve x=t^(2)-1, y=t^(2)-t , the tangent is parallel to X-axis at the point where

If the normal line at (1,-2) on the curve y^(2)=5x-1 is ax-5y+b=0 then the values of a and b are

If the tangent to the curve y^(2)=ax^(2)+b at the point (2,3) is y=4x-5, then (a,b)=

MOTION-TANGENT & NORMAL-EXERCISE 3
  1. The tangent to y=a x^2+b x+7/2a t(1,2) is parallel to the normal at...

    Text Solution

    |

  2. Find the point on the curve y=x^3+x^2+x at which the tangent to the cu...

    Text Solution

    |

  3. The equation of normal to the curve (x/a)^n+(y/b)^n=2(n in N) at the p...

    Text Solution

    |

  4. If y=f(x) be the equation of a parabola which is touch by the line y=x...

    Text Solution

    |

  5. If the line, ax+ by + c = 0 is a normal to the curve xy =2

    Text Solution

    |

  6. If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the p...

    Text Solution

    |

  7. The corrdinate of the points(s) on the graph of the function, f(x)=(x^...

    Text Solution

    |

  8. For the curve represented parametrically by the equation, x=2log(cott)...

    Text Solution

    |

  9. The angle at which the curve y=ke^(kx) intersects Y-axis is

    Text Solution

    |

  10. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

    Text Solution

    |

  11. Consider the curve f(x)=x^(1/3), then

    Text Solution

    |

  12. In which of the following cases the given equations has atleast one ro...

    Text Solution

    |

  13. Find the equation of tangent to the curve y=1+e^(-2x) Where it cuts...

    Text Solution

    |

  14. Find the equation of normal to the curve x^3+y^3=8xy at point where it...

    Text Solution

    |

  15. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

    Text Solution

    |

  16. Find the equation of the tangent line to the curvey =x^2-2x+7 which is...

    Text Solution

    |

  17. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  18. The tangent at a variable point P of the curve y = x^2 – x^3 meets it ...

    Text Solution

    |

  19. Find the points on the curve y=x^3 at which the slope of the tan...

    Text Solution

    |

  20. Show that for any point of the curve x^2 - y^2 = a^2 the segment of th...

    Text Solution

    |