Home
Class 12
MATHS
If theta is the measure of the acute ang...

If `theta` is the measure of the acute angle between the lines represented by equation `ax^(2)+2hx+by^(2)=0`, then prove that `tan theta =|(2sqrt(h^(2)-ab))/(a+b)|` where `a+b ne 0 and ne 0.` Find the condition for coincident lines.

Promotional Banner

Topper's Solved these Questions

  • MARCH 2015

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

  • MARCH 2014

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

  • MARCH 2016

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION II|20 Videos

Similar Questions

Explore conceptually related problems

The acute angle between the lines represented by the equation 11y^(2)-24xy+4x^(2)=0 are

Find the measure of the acute angle between the lines represented by x^(2) + 4xy + y^(2) = 0 .

The acute angle between the lines represented by x^(2)+2sqrt(2)xy-y^(2)=0 is

The acute angle between the lines represented by x^(2) + xy = 0 is….

The acute angle theta between the lines represented by 3x^(2)+2xy-y^(2)=0 is

If theta is the angle between the lines represented by ax^(2)+2hxy+by^(2)=0 , then tantheta=

The acute angle theta between the lines represented by 2x^(2)+7xy+3y^(2)=0 is

The acute angle theta between the lines represented by 2x^(2)-6xy+y^(2)=0 is

The acute angle theta between the lines represented by 4x^(2)+5xy+y^(2)=0 is

The acute angle theta between the lines represented by x^(2)-4xy+y^(2)=0 is

GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2015-SECTION-II
  1. If theta is the measure of the acute angle between the lines represent...

    Text Solution

    |

  2. Select and write the correct answer from the given alternatives in ea...

    Text Solution

    |

  3. Select and write the correct answer from the given alternatives in ea...

    Text Solution

    |

  4. Select and write the correct answer from the given alternatives in ea...

    Text Solution

    |

  5. Evaluate: inte^xdot(sqrt(1-x^2)sin^(-1)x+1)/(sqrt(1-x^2))\ dx

    Text Solution

    |

  6. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(d...

    Text Solution

    |

  7. Evaluate : int (0)^(pi//2) 1/(1 + cos x) dx

    Text Solution

    |

  8. If y = e^(ax) Show that x(dy)/(dx) = y log y .

    Text Solution

    |

  9. A fair coin is tossed 5 times . Find the probability that it shows exa...

    Text Solution

    |

  10. Integrate sec^(3) x w.r.t.x.

    Text Solution

    |

  11. If y = (tan^(-1))^(2), show that (1+x^(2))(d^(2)y)/(dx^(2)) + 2x(1+x...

    Text Solution

    |

  12. f(x)=[tan(pi/4+x)]^(1/x), x!=0 and f(x)=k, x=0 is continuous at x=0 th...

    Text Solution

    |

  13. Find the coordinates of the point on the curve y=x-(4)/(x), where the ...

    Text Solution

    |

  14. int sqrt(x^2 - a^2) = 1/2 x sqrt (x^2 - a^2) - 1/2 a^2 log ( x + sqrt(...

    Text Solution

    |

  15. Evaluate : int(0)^(pi) (x sin x )/(1 + sin x ) dx

    Text Solution

    |

  16. Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x...

    Text Solution

    |

  17. If log (10)((x^(3)-y^(3))/(x^(3)+y^(3))) = 2, then show that (dy)/(...

    Text Solution

    |

  18. Let the p.m.f. ( probability mass function ) of random variable x be ...

    Text Solution

    |

  19. Examine the maxima and minima of the function f (x) = 2x^(3) - 21 x^(...

    Text Solution

    |

  20. The solution of the differential equ (x^2 + y^2) dx = 2 xy dy is-

    Text Solution

    |

  21. Given the probability density functio (p.d.f) of a continuos random va...

    Text Solution

    |