Home
Class 12
MATHS
The difference of slopes of the lines re...

The difference of slopes of the lines represented by `y^(2)-2 x y sec ^(2) alpha+(3+tan ^(2) alpha)(-1+tan ^(2) alpha) x^(2)=0` is

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

Similar Questions

Explore conceptually related problems

The expression tan ^(2) alpha+cot ^(2) alpha is

If x=a sec^(2)theta, y=a tan^(2)theta" then "(d^(2)y)/dx^(2)=

The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

The angle between the lines sin^(2) alpha.y^(2) -2xy.cos^(2) alpha + (cos^(2) alpha -1)x^(2) =0 is

The difference of the tangents of the angles which the lines x^(2)(sec^(2) theta - sin^(2) theta)-2xy tan theta+y^(2)sin^(2) theta=0 makes with x axis is

If f(x) = x^2 - 3x + 1 and f (2 alpha) = 2 x f(alpha) =

If alpha, beta are the roots of ax^(2) - 26x + c = 0 , then alpha^(3) beta^(3) + alpha^(2) beta^(3) + alpha^(3) beta^(2) equals :

If cos^(-1) x - cos ^(-1) (y)/(2) =alpha then 4x^(2) -4xy cos alpha+ y^(3) is equzal to

The angle between the lines (x^(2)+y^(2))sin^(2)alpha=(x cos beta-y sin beta)^(2) is

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. Point of intersection of pair of lines x^(2)+x y+2 y^(2)-3 x+2 y+4=0 i...

    Text Solution

    |

  2. If a x^(2)+6 x y+b y^(2)-10 x+10 y-6=0 represents a pair of perpendicu...

    Text Solution

    |

  3. The difference of slopes of the lines represented by y^(2)-2 x y sec ^...

    Text Solution

    |

  4. The angle between the pair of lines 2(x+2)^(2)+3(x+2)(y-2)-2(y-2)^(2)=...

    Text Solution

    |

  5. The equation of the pair of lines through (1,-1) and perpendicular to ...

    Text Solution

    |

  6. The equation of the line common to the pair of lines (p^(2)-q^(2)) x^(...

    Text Solution

    |

  7. If the pair of lines given by (x^(2)+y^(2)) sin ^(2) alpha=(x cos alph...

    Text Solution

    |

  8. If a, h, b are in A.P. then the triangular area formed by the pair of ...

    Text Solution

    |

  9. If the equation a x^(2)+5 x y-6 y^(2)-10 x+11 y+c=0, represents two pe...

    Text Solution

    |

  10. The equation of the pair of lines through the points (a, b) parallel t...

    Text Solution

    |

  11. If the equation lambda x^(2)-5 x y+6 y^(2)+x-3 y=0 represents a pair o...

    Text Solution

    |

  12. The product of the perpendiculars from (-1,2) to the pair of-lines 2 x...

    Text Solution

    |

  13. Area of the triangle formed by the lines 3 x^(2)-4 x y+y^(2)=0, quad 2...

    Text Solution

    |

  14. The orthocentre of the triangle formed by the lines x+3 y=10 and 6 x^(...

    Text Solution

    |

  15. If one of the lines of the pair a x^(2)+2 h x y+b y^(2)=0 bisects the ...

    Text Solution

    |

  16. If the slope of one line is twice the slope of the other in the pair o...

    Text Solution

    |

  17. If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurre...

    Text Solution

    |

  18. If the angle 2 theta is acute, then the acute angle between the pair o...

    Text Solution

    |

  19. If the coordinate axes are the bisectors of the angles between the pai...

    Text Solution

    |

  20. If the pair of lines given by a x^(2)+2 h x y+b y^(2)=0 (h^(2)>a b) fo...

    Text Solution

    |