Home
Class 12
MATHS
Let a, b, c and d be non-zero numbers. I...

Let a, b, c and d be non-zero numbers. If the point of intersection of the line 4ax+2ay+c = 0 and 5bx+2by+d=0 lies in the fourth quadrant and is equidistant from the two axes, then

A

`3bc-2ad=0`

B

`3bc+2ad=0`

C

`2bc-3ad=0`

D

`2bc+3ad=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise The Straight Lines Exercise 7 : (Subjective Type Questions)|4 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

Let a,b, c and d be non-zero numbers. If the point of intersection of the lines 4ax + 2ay+c=0 and 5bx+2by +d=0 lies in the fourth quadrant and is equidistant from the two axes, then

A, B C and D are the points of intersection with the coordinate axes of the lines ax+by=ab and bx+ay=ab, then

The point of intersect of the coordinates axes is : (a) ordinate (b) abscissa (c) quadrant (d) origin

For a> b>c>0 , if the distance between (1,1) and the point of intersection of the line ax+by-c=0 is less than 2sqrt2 then,

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

For a gt b gt c gt 0 , if the distance between (1,1) and the point of intersection of the line ax+by-c=0 and bx+ay+c=0 is less than 2sqrt2 then, (A) a+b-cgt0 (B) a-b+clt0 (C) a-b+cgt0 (D) a+b-clt0

Let a,b,c be real numbers in G.P. such that a and c are positive , then the roots of the equation ax^(2) +bx+c=0

If a,b,c are positive real numbers, then the number of positive real roots of the equation ax^(2)+bx+c=0 is

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |