Home
Class 12
MATHS
If theta is the angle between the lines ...

If `theta` is the angle between the lines `x//a+y//b=1, x//b+y//a=1`, then `cos theta=`

A

`(2ab)/(a^(2)+b^(2))`

B

`(ab )/(a^(2)+b^(2))`

C

`(a^(2)+b^(2))/(2ab)`

D

`(a^(2)+b^(2))/(ab)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-2)|7 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|119 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

If theta is the angle between the lines x/a+y/b=1 and x/b+y/a=1 find the value of sin theta . when a gtb .

If theta is the angle between the curves y=x^2,x=y^2 at (1,1), than tan theta =

If theta is the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) and the plane 2x + y - 3z +4=0 then (8)/(29)(cosec ^(2) theta) =

Find the angle between the lines ax+by=a+b,a(x-y)+b(x+y)=2b

If theta is the angle between the lines joining the origin to the points of intersection of the curve 2x^2+3y^2=6 and the line x+y =1, then sin theta =

A : If the angle between the lines kx-y+6=0, 3x+5y+7=0 is pi//4 one value of k is 4 R : If theta is angle between the lines with slopes m_(1), m_(2) then tan theta=(|m_(1)-m_(2)|)/(|1+m_(1)m_(2)|) .

If theta is the angle between y=2x+3, y=x+1 , the value of tan theta=

If theta is angle between pair of lines x^(2)-5xy+py^(2)+3x-8y+2=0 then sin theta =

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The angle between the lines formed by joining the points (2, -3), (-5,...

    Text Solution

    |

  2. Find the angle between the lines ax+by=a+b,a(x-y)+b(x+y)=2b

    Text Solution

    |

  3. If theta is the angle between the lines x//a+y//b=1, x//b+y//a=1, then...

    Text Solution

    |

  4. If theta is the angle between y=2x+3, y=x+1, the value of tan theta=

    Text Solution

    |

  5. The angle between the line joining the points (1, -2), (3, 2) and the ...

    Text Solution

    |

  6. If the acute angle between the lines 4x-y+7=0, kx+5y-9=0 is 45^(@), th...

    Text Solution

    |

  7. If the acute angle between the lines 2x+3y-5=0, 5x+ky-6=0 is pi//4, th...

    Text Solution

    |

  8. If 2x+ky-10=0, 5x+2y-7=0 are parallel, then the value of k =

    Text Solution

    |

  9. If 3x-ky-2=0, 2x+y+2=0 are perpendicular, then the value of k =

    Text Solution

    |

  10. A line passing through the points (a, 2a) and (-2, 3) is perpendicular...

    Text Solution

    |

  11. The value of k such that the straight line (2x+3y+5)+k(x-7y+6)=0 is pa...

    Text Solution

    |

  12. The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-...

    Text Solution

    |

  13. The value of k such that the straight line 3x+14y+7+k(5x+7y+6)=0 is pe...

    Text Solution

    |

  14. The value of k such that the line 2x+3y+4+k(6x-y+12)=0 is perpendicula...

    Text Solution

    |

  15. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are per...

    Text Solution

    |

  16. If the straight liine a(x+y-1)+b(2x-3y+1)=0 for different values of a ...

    Text Solution

    |

  17. The diagonals of the parallelogrma formed by the lines a(1)x+b(1)y+c(1...

    Text Solution

    |

  18. The diagonals of the parallelogram whose sides are lx+my+n=0, lx+my+n(...

    Text Solution

    |

  19. The angle between the diagonals of the parallelogram formed by the lin...

    Text Solution

    |

  20. The angles of the triangle formed by the lines 5x+3y-15=0, x+y-4=0, ...

    Text Solution

    |