Home
Class 11
MATHS
If a x^3 + b y^3 + c x^2 y + d x y^2 =0 ...

If `a x^3 + b y^3 + c x^2 y + d x y^2 =0` represents three distinct straight lines, such that each line bisects the angle between other two, then which of the following is/are correct

A

`d^(2) gt 5bc`

B

`3b+c=0`

C

`d^(2) lt 5bc`

D

`b+3c=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos
  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION - II (ASSERTION - REASON TYPE MCQs|1 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The equation x^(3)+x^(2)y-xy^(2)-y^(3)=0 represents three straight lines passing through the origin such that

Prove that the equation m (x^3-3xy^2)+y^3-3x^2y=0 represents three straight lines equally inclined to each other.

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to

The equation of the straight line which bisects the intercepts between the axes of the lines x+y=2 and 2x + 3y = 6 is

Find the equations of the lines bisecting the angles between the lines 4x-3y+12=0 and 12x+5y=20 .

The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a real number, represents a pair of straight lines. If theta is the angle between the lines, then cosec^2theta =

The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a real number, represents a pair of straight lines. If theta is the angle between the lines, then cosec^2theta =

The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a real number, represents a pair of straight lines. If theta is the angle between the lines, then cosec^2theta =

The equation x^3+x^2y-x y=y^3 represents three real straight lines lines in which two of them are perpendicular to each other lines in which two of them are coincident none of these

The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lines (b)lines in which two of them are perpendicular to each other (c)lines in which two of them are coincident (d)none of these

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. Find the range of (alpha,2+alpha) and ((3alpha)/2,a^2) lie on the oppo...

    Text Solution

    |

  2. A point moves such that the area of the triangle formed by it with ...

    Text Solution

    |

  3. Find the coordinates of the orthocentre of the triangle whose vertices...

    Text Solution

    |

  4. If the pair of straight lines xy - x - y +1=0 & the line ax+2y-3=0 are...

    Text Solution

    |

  5. If (-2,6) is the image of the point (4,2) with respect to line L=0, th...

    Text Solution

    |

  6. If the points (1, 2) and (3, 4) were to be on the opposite side of the...

    Text Solution

    |

  7. The coordinates of the image of the originf O with respect to the stra...

    Text Solution

    |

  8. A straight line of length 9 units slides with ends A, B always on x an...

    Text Solution

    |

  9. The area of the triangle formed by the axes & the line (cosh alpha -si...

    Text Solution

    |

  10. A line passes through (1,0). The slope of the line, for which its inte...

    Text Solution

    |

  11. What is the y intercept of the line that is parallel to y=3x and which...

    Text Solution

    |

  12. Given A-=(1,1) and A B is any line through it cutting the x-axis at Bd...

    Text Solution

    |

  13. Consider two intersecting (non-perpendicular lines L(1)=0 and L(2)=0 a...

    Text Solution

    |

  14. Through point P(-1,4), two perpendicular lines are drawn which interse...

    Text Solution

    |

  15. A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If la n ...

    Text Solution

    |

  16. If x1, y1 are the roots of x^2 +8x-97=0, x2, y2 are the roots of 4x^2 ...

    Text Solution

    |

  17. P is a point inside the triangle ABC. Lines are drawn through P, paral...

    Text Solution

    |

  18. If a x^3 + b y^3 + c x^2 y + d x y^2 =0 represents three distinct stra...

    Text Solution

    |

  19. If the line lx+my+n=0 intersects the curve ax^(2)+2hxy+by^(2)=1 at P a...

    Text Solution

    |

  20. The orthocentre of triangle with vertices (2,(sqrt3-1)/2) , (1/2,-1/2)...

    Text Solution

    |