Home
Class 12
MATHS
If one of the lines of the pair ax^(2)+2...

If one of the lines of the pair `ax^(2)+2hxy+by^(2)=0` bisects the angle between positive direction of the axes, then a, b and h satisfy the relation.

A

a+b=2|h|

B

a+b=-2h

C

a-b=2|h|

D

`(a-b)^(2)=4h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • MOCK TEST 4

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

if one of the lines the pair ax^2+2hxy+by^2=0 bisects the angle between positive directions of the axes , then a, b, h, satisfy the relation

If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle betwen the positive direction of the axes. Then find the relation for a,b, and h.

If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between the axes, in the first quadrant, then

If one of the lines given by the equation ax^(2)+6xy+by^(2)=0 bisects the angle between the co-ordinate axes, then value of (a+b) can be :

If one of the lines given by kx^(2)+xy-y^(2)=0 bisects the angle between the co-ordinate axes, then k=

If one of the lines given by kx^(2)+2hxy+by^(2)=0 bisects the angle between the axes in the first qaudrant, then

If one of the lines denoted by the line pair ax^(2)+2hxy+by^(2)=0 bisects the angle between the coordinate axes,then prove that (a+b)^(2)=4h^(2)

One of the lines given by the equation ax^2+2lamdaxy+by^2=0 will bisect the angle between the coordinate axes if

One of the lines represented by the equation ax^(2)+bxy+cy^(2)=0 bisects an angle between the co-ordinate axes

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
  1. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

    Text Solution

    |

  2. If in Delta ABC, tan.(A)/(2) = (5)/(6) = (2)/(5), then prove that a, b...

    Text Solution

    |

  3. If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle...

    Text Solution

    |

  4. The values of theta in (0,(pi)/(2)) satisfying

    Text Solution

    |

  5. If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...

    Text Solution

    |

  6. If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

    Text Solution

    |

  7. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  8. In a class, there are 10 boys and 8 girls. When 3 students are selecte...

    Text Solution

    |

  9. The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4...

    Text Solution

    |

  10. If y=sinx and u=cosx, then (dy)/(du) is equal to

    Text Solution

    |

  11. If the line joining the points (0,3)a n d(5,-2) is a tangent to the cu...

    Text Solution

    |

  12. Evaluate the following integrals: inte^(2x)((1+sin2x)/(1+cos2x))dx

    Text Solution

    |

  13. If a particle is moving the velocity v(t)=cos pit, along a straight li...

    Text Solution

    |

  14. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

    Text Solution

    |

  15. If X and Y are two non-empty sets where f: X->Y,is function is define...

    Text Solution

    |

  16. Let X be a random variable which assumes values x1, x2, x3,\ x4 such t...

    Text Solution

    |

  17. The solution of dy/dx+x=xe^((n-1)y)

    Text Solution

    |

  18. Let X denote the number of times heads occur in n tosses of a fair coi...

    Text Solution

    |

  19. If the mean and the variance of a binomial variable X are 2 and 1 resp...

    Text Solution

    |

  20. If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

    Text Solution

    |