Home
Class 11
MATHS
The point of intersection of the lines x...

The point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` lies on

A

x - y = 0

B

(x + y) ( a + b) = 2ab

C

(lx + my) (a + b) = (l + m) ab

D

all of these

Text Solution

Verified by Experts

The correct Answer is:
D
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 point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b=1/m (i) a circle (ii) an ellipse (iii) a hyperbola (iv) a parabola

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

If x/l+y/m=1 is any line passing through the intersection point of the lines x/a+y/b=1 and x/b+y/a=1 then prove that 1/l+1/m=1/a+1/b

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) -2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) 2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

Equation of the tangent to the circle at the point (1, -1) whose centre is the point of intersection of the straight lines x-y=1 and 2x+y-3=0, is

Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + 9 = 0 . If this point lies on the line (2k - 1) x - 2y = 4 , find the value of k. The above question can also be stated as : If the lines 4x + 3y = 1, 3x – y + 9 = 0 and (2k - 1) x - 2y = 4 are concurrent (pass through the same point), find the value of k.

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. Prove that the locus of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  2. The equation of the line with slope -3//2 and which in concurrent with...

    Text Solution

    |

  3. The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

    Text Solution

    |

  4. Find the equation of the bisector of the obtuse angle between the line...

    Text Solution

    |

  5. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  6. The equations of perpendicular bisectors o the sides AB and AC of a ...

    Text Solution

    |

  7. If each of the points (x1,4),(-2,y1) lies on the line joining the poin...

    Text Solution

    |

  8. Equation of the line passing through the point (acos^3theta, a sin^3th...

    Text Solution

    |

  9. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

    Text Solution

    |

  10. The straight line x+y-4=0,3x+y-4=0,x+3y-4=0 form a triangle which is

    Text Solution

    |

  11. Prove that the lines ax+by + c = 0, bx+ cy + a = 0 and cx+ay+b=0 are ...

    Text Solution

    |

  12. The equation of one side of a rectangle is 3x-4y -10=0 and the coordin...

    Text Solution

    |

  13. Given the four lines with the equations x+2y-3=0,3x+4y-7=0" , "2x+3y-...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let the base of a triangle lie along the line x = a and be of length a...

    Text Solution

    |

  17. The equation of straight line passing through point (1,2) and having i...

    Text Solution

    |

  18. The point (4,1) undergoes the following two successive transformations...

    Text Solution

    |

  19. A line passes through the point (2,2) and is perpendicular to the line...

    Text Solution

    |

  20. The coordinates of a point on the lin y = x where perpendicular dista...

    Text Solution

    |