Home
Class 12
MATHS
The vertices Ba n dC of a triangle A B C...

The vertices `Ba n dC` of a triangle `A B C` lie on the lines `3y=4xa n dy=0` , respectively, and the side `B C` passes through the point `(2/3,2/3)` . If `A B O C` is a rhombus lying in the first quadrant, `O` being the origin, find the equation of the line `B Cdot`

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Example|3 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|12 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The vertices B, C of a triangle ABC lie on the lines 4y=3x and y=0 respectively and the side BC passes through thepoint P(0, 5) . If ABOC is a rhombus, where O is the origin and the point P is inside the rhombus, then find the coordinates of A'.

Three sides A B ,A Ca n dC A of triangle A B C are 5x-3y+2=0,x-3y-2=0a n dx+y-6=0 respectively. Find the equation of the altitude through the vertex Adot

The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n dx+2y=16 respectively. If the mid-point of B Ci s(5,6) then find the equation of B Cdot

If the vectors A ,B ,C of a triangle A B C are (1,2,3),(-1,0,0),(0,1,2), respectively then find /_A B Cdot

A plane meets the coordinate axes at A ,Ba n dC respectively such that the centroid of triangle A B C is (1,-2,3)dot Find the equation of the plane.

Prove that the points A(4,3),B(3,0)and C(2,-3) are collinear. Also, find the line passing through these three points.

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 . Find the area of the triangle given that A has coordinates (1,-1,2) and line segment B C has length 5.

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The vertices Ba n dC of a triangle A B C lie on the lines 3y=4xa n dy=...

    Text Solution

    |

  2. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  3. A straight line through the point A (3,4) is such that its intercept b...

    Text Solution

    |

  4. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  5. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

    Text Solution

    |

  6. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

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

    Text Solution

    |

  8. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

  9. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  10. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  11. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  12. A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  13. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  14. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  15. Let a, b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  16. For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...

    Text Solution

    |

  17. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  18. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

    Text Solution

    |