Home
Class 12
MATHS
If (-2,7) is the highest point on the gr...

If `(-2,7)` is the highest point on the graph of` y =-2x^2-4ax +lambda`, then `lambda` equals

A

31

B

11

C

`-1`

D

`-1/3`

Text Solution

Verified by Experts

The correct Answer is:
C
We have `-((-4a)/(2(-2)))=-2`
`impliesa=2`
`:.y=-2x^(2)-8x+lamda`…..i
Since Eq. (i) passes through points `(-2,7)`
`:.7=-2(-2)^(2)-8(-2)+lamda`
`implies7=-8+16+lamda`
`:.lamda=-1`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise SCQ_TYPE|1 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

If the perpendicular distance of the point (6 5, 8) from the y -axis is 5lambda units, then lambda is equal to ___

If the perpendicular distance of the point (6, 5, 8) from the Y-axis is 5lambda units, then lambda is equal to

If [axxb bxxc c xxa]=lambda[abc]^(2) , then lambda is equal to

A series of hyperbola are drawn having a common transverse axis of length 2a. Prove that the locus of point P on each hyperbola, such that its distance from the transverse axis is equal to its distance from an asymptote, is the curve (x^2-y^2)^2 =lambda x^2 (x^2-a^2), then lambda equals

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =

The distance of the point (x,y) from the origin is defined as d = max . {|x|,|y|} . Then the distance of the common point for the family of lines x (1 + lambda ) + lambda y + 2 + lambda = 0 (lambda being parameter ) from the origin is

The transform equation of r^(2)cos^(2)theta = a^(2)cos 2theta to cartesian form is (x^(2)+y^(2))x^(2)=a^(2)lambda , then value of lambda is

If xz-plane divide the join of point (2, 3, 4) and (1, -1, 5) in the ratio lambda:1 , then the integer lambda should be equal to

The equation of a plane which bisects the line joining (1, 5, 7) and (-3, 1, -1) is x+y+2z=lambda , then find lambda .

If the equation 2 cos x + cos 2 lambda x=3 has only one solution , then lambda is

ARIHANT MATHS-THEORY OF EQUATIONS-Exercise (Single Option Correct Type Questions)
  1. Find a quadratic equation whose product of roots x1 a n d x2 is equa...

    Text Solution

    |

  2. If both roots of the equation x^2-2ax + a^2-1=0 lie between (-2,2) the...

    Text Solution

    |

  3. If (-2,7) is the highest point on the graph of y =-2x^2-4ax +lambda, t...

    Text Solution

    |

  4. If the roots of the quadratic equation 4p-p^2-5x^2-(2p-1)x+3p=0 lie on...

    Text Solution

    |

  5. Solution of the equation 3^(2x^2)-2.3^(x^2+x+6)+3^(2(x+6))=0 is

    Text Solution

    |

  6. Consider two quadratic expressions f(x) =ax^2+ bx + c and g (x)=ax^2+p...

    Text Solution

    |

  7. If x(1) and x(2) are the arithmetic and harmonic means of the roots fo...

    Text Solution

    |

  8. If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has ...

    Text Solution

    |

  9. The value of the positive integer n for which the quadratic equation s...

    Text Solution

    |

  10. If one root of the equation x^(2)-lamdax+12=0 is even prime while x^(2...

    Text Solution

    |

  11. Number of real roots of the equation sqrt(x)+sqrt(x-sqrt((1-x)))=1 is

    Text Solution

    |

  12. The value of sqrt(7+sqrt(7-sqrt(7+sqrt(7-….)))) upto oo is

    Text Solution

    |

  13. For any value of x the expression 2(k-x)(x+sqrt(x^2+k^2)) cannot excee...

    Text Solution

    |

  14. solve x^2+2x+4 = 0

    Text Solution

    |

  15. Let alpha,beta,gamma be the roots of (x-a) (x-b) (x-c) = d, d != 0, th...

    Text Solution

    |

  16. If one root fo the quadratic equation ix^(2)-2(i+1)x+(2-i)=0,i=sqrt(-1...

    Text Solution

    |

  17. Find the number of solutions of abs([x]-2x)=4, where [x] is the greate...

    Text Solution

    |

  18. if x^2+x+1 is a factor of ax^3+bx^2+cx+d then the real root of ax^3+...

    Text Solution

    |

  19. THe value of x which satisfy the equation (sqrt(5x^2-8x+3))-sqrt((5x...

    Text Solution

    |

  20. the roots of the equation (a+sqrt(b))^(x^2-15)+(a-sqrt(b))^(x^2-15)=2a...

    Text Solution

    |