Home
Class 12
MATHS
Let L(1) be a straight line passing thr...

Let` L_(1)` be a straight line passing through the origin and `L_(2)` be the straight line x + y = 1. If the intercepts made by the circle `x ^(2) + y ^(2) - x + 3y = 0 on L _(1) and L _(2)` are equal, then which of the following equation can represent `L_(1)` ?

A

`x + 7y = 0`

B

`x - y =0`

C

`x - 7y = 0`

D

Both (a) and (b)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 110

    NTA MOCK TESTS|Exercise MATHEMATICS |28 Videos
  • NTA TPC JEE MAIN TEST 112

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

A straight line L passing through the point P(-2,-3) cuts the lines, x + 3y = 9 and x+y+1=0 at Q and R respectively. If (PQ) (PR) = 20 then the slope line L can be (A) 4 (B) 1 (C) 2 (D) 3

A straight line L through the point (3,-2) is inclined at an angle 60^(@) the line sqrt(3)x+y=1 If L also intersects the x -axis then the equation of L is

Let L be the line 2x+y=2. If the axes are rotated by 45^(@) without transforming the origin ,the intercepts made by line L on the new are

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 ?

Two tangents to an ellispse x^(2)+2y^(2)=2 are drawn which intersect at right angles,let l_(1) and l_(2) be the intercepts on these tangents made by the circle x^(2)+y^(2)=2 , then l_(1)^(2)+l_(2)^(2) is equal to________

L_(1) is a line passing through the point A(n,n+1) having slope, n, L_(2) is a line passing through the point B(-n, n^(2)) and is perpendicular to L_(1) , If L_(1) and L_(2) intersect on y-axis, then n is equal to ________ (n gt 0)

The straight lines L=x+y+1=0 and L_(1)=x+2y+3=0 are intersecting 'm 'me slope of the straight line L_(2) such that L is the bisector of the angle between L_(1) and L_(2). The value of m^(2) is

A line L is perpendicular to the line 3x-4y-7=0 and touches the circle x^(2)+y^(2)-2x-4y-4=0 , the y -intercept of the line L can be:

If the lines L_(1) and L_(2) are tangents to 4x^(2)-4x-24y+49=0 and are normals for x^(2)-y^(2)=72, then find the slopes of L_(1) and L_(2).

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 111-MATHEMATICS
  1. The value of the limit {{:((1 - cos ""(1)/(n))), (sqrt (( 1- cos "" ...

    Text Solution

    |

  2. Let f (x) is continuous on [a,c] and differentiable in (a,c) where a,b...

    Text Solution

    |

  3. If the function f (x) = Pe ^(2x) + Qe^(x) + Rx satisfies the conditi...

    Text Solution

    |

  4. If a circle passes through the points (0, 0) (a, 0) and (0, b), then i...

    Text Solution

    |

  5. If 3 sin theta - 4 cos theta = 5 and 4 sin theta + 3 cos theta = k. t...

    Text Solution

    |

  6. Let theta in ( 0, (pi)/(2)) is solution of equation 3 sin x + 4 cos x...

    Text Solution

    |

  7. cos ^(-1) { cos (2 cot ^(-1) ( sqrt2 - 1 )) } is equal to

    Text Solution

    |

  8. Let L(1) be a straight line passing through the origin and L(2) be t...

    Text Solution

    |

  9. The roots alpha and beta of the quadratic equation px ^(2) + qx + r =0...

    Text Solution

    |

  10. The sum S (n) = n ^(3) + 3n ^(2) + 5n + 3 is divisible by

    Text Solution

    |

  11. If 1 + (1)/( 3 ^(2)) + (1. 4)/( 1. 2) . (1)/( 3 ^(4)) + (1.4.7)/( 1.2....

    Text Solution

    |

  12. Words are formed from the letters of the word BHARAT. If p and qrepres...

    Text Solution

    |

  13. If A = [{:( -1, 2, -3),( -2,0, 3),( 3, -3, 1):}] be a matrix such that...

    Text Solution

    |

  14. 0 lt A, B, C lt pi, find the minimum value of II (( sin ^(2) A + sin A...

    Text Solution

    |

  15. For certain curve y = f (x) satisfying (d ^(2) y )/( dx ^(2)) = 6x - 4...

    Text Solution

    |

  16. If omega is a complex cube root of unity, then evaluate | omega + ome...

    Text Solution

    |

  17. If int sin ^(2) x cos ^(4) xdx = ( p )/(32) [ (sin 6x )/( m ) = (sin 4...

    Text Solution

    |

  18. A curve Cis given by (f (y)) ^((2)/(3)) + (f (x)) ^((1)/(3)) = 0, sa...

    Text Solution

    |

  19. For a series, the value of mean deviation is 21. Find the value of its...

    Text Solution

    |

  20. Consider the differential equation (( 2 + sin x )/( y +1 )) (dy)/(dx...

    Text Solution

    |