Home
Class 12
MATHS
the lines L1 and L2 denoted by 3x^2...

the lines `L_1` and `L_2` denoted by `3x^2 + 10xy +8y^2 +14x +22y + 15 = 0` intersect at the point P and have gradients `M_1` and `M_2` respectively.The acute angles between them is `theta` . which of the following relations hold good ?

A

`(-1,-2)`

B

`(1,-2)`

C

`(1,2)`

D

`(-2,1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION D) (LINKED COMPREHENSION TYPE QUESTIONS)|12 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos
  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

11.The acute angle between the pair of lines x^(2)+2xy cot theta+y^(2)=0 is

If theta is the acute angle between the pair of the lines x^(2)+3xy4y^(2)=0 then sin theta=

If theta is the acute angle between the lines 6x^(2)+11xy+3y^(2)=0 ,then tan theta

If theta is the acute angle between the pair of lines 5x^2-8xy-y^2=0 then find cos theta

Let L_(1) and L_(2) be the foollowing straight lines. L_(1): (x-1)/(1)=(y)/(-1)=(z-1)/(3) and L_(2): (x-1)/(-3)=(y)/(-1)=(z-1)/(1) Suppose the striight line L:(x-alpha)/(l)=(y-m)/(m)=(z-gamma)/(-2) lies in the plane containing L_(1) and L_(2) and passes throug the point of intersection of L_(1) and L_(2) if the L bisects the acute angle between the lines L_(1) and L_(2) , then which of the following statements is /are TRUE ?

If (theta) is an acute angle between the lines y=2x+3,y=x+1 then the value of tan theta=

The lines L_(1) : y - x = 0 and L_(2) : 2x + y = 0 intersect the line L_(3) : y + 2 = 0 at P and Q respectively . The bisectors of the acute angle between L_(1) and L_(2) intersect L_(3) at R . Statement 1 : The ratio PR : RQ equals 2sqrt2 : sqrt5 Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangles .

Consider three planes P_1 : x-y + z = 1, P_2 : x + y-z=-1 and P_3 : x-3y + 3z = 2 Let L_1, L_2 and L_3 be the lines of intersection of the planes P_2 and P_3, P_3 and P_1 and P_1 and P_2 respectively.Statement 1: At least two of the lines L_1, L_2 and L_3 are non-parallel The three planes do not have a common point

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

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

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
  1. The line 5x + 4y = 0 passes through the point of intersection of strai...

    Text Solution

    |

  2. The equation of the base of an equilateral triangle is x+y=2 and its v...

    Text Solution

    |

  3. A ray of light is sent along the line which passes through the point (...

    Text Solution

    |

  4. Line a x+b y+p=0 makes angle pi/4 with cosalpha+ycosalpha+ysinalpha=p ...

    Text Solution

    |

  5. Find the image of the point (-8,12) with respect to line mirror 4x+7y+...

    Text Solution

    |

  6. in a triangle ABC, if A is (1, 2) and the equations of the medians thr...

    Text Solution

    |

  7. The equation of straight line equally inclined to the axes and equidis...

    Text Solution

    |

  8. A line passing through (0,0) and perpendicular to 2x+y+6=0,4x+2y-9=0 t...

    Text Solution

    |

  9. The centroid of the triangle formed by the pair of straight lines 12x^...

    Text Solution

    |

  10. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

    Text Solution

    |

  11. If a , ba n dc are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  12. The straight line ax + by = 1 makes with the curve px^2 + 2axy + qy^2 ...

    Text Solution

    |

  13. the lines L1 and L2 denoted by 3x^2 + 10xy +8y^2 +14x +22y + 15 =...

    Text Solution

    |

  14. The equation of the lines through the origin and which are perpendicul...

    Text Solution

    |

  15. A ray of light is sent along the line x-2y-3=0 on reaching the line 3x...

    Text Solution

    |

  16. The mid-point of the line segment joirning (3, -1) and (1, 1) is shift...

    Text Solution

    |

  17. Sum of the possible values of lamda for which the following threes lin...

    Text Solution

    |

  18. The ends A and B of a straight line segment of constant length c slide...

    Text Solution

    |

  19. The value of h for which 3x^2-2hxy + 4y^2 = 0 represents a pair of coi...

    Text Solution

    |

  20. Distance between the pari of straight lines x^(2)+6xy+9y^(2)+4x+12y-5=...

    Text Solution

    |