Home
Class 12
MATHS
If a straight line passes through the p...

If a straight line passes through the point `(alpha , beta)` and the portion of the line intercepted between the axes is divided equally at that point , then `(x)/(alpha) + (y)/(beta)` is _

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2013)|17 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|5 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2016)|11 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

If a straight line passes through the point (alpha ,beta) and the portion of the line intercepted between the axes is divided equally at that point, them frac(x)(alpha)+frac(y)(beta) is

The equation of straight line which passes through the point (-4,3) such that the portion of the line between the axes is divided by the point in ratio 5:3 is -

A straight line passes through (1,1) and portion of the line intercept between the axes is divided at this point in the ratio 3:4. Find the equation of the line.

A straight line passes through the point (2,3) and is such that the portion of intercepted between the axes is divided internally at that point in the ration 4:3.Find the equaiton of the straight line.

A straight line passes through the point (1,2) and is such that the protion of it intercepted between the axes is divided internally at the points in the ratio 3:2 . Find the equation of the line .

A straight line passes throught the point (2,3) and is such that the portion of it intercepted between the axes is divided internally at the point in the ratio 4:3 . Find the equation of the straight line.

Two straight lines , drawn through the origin , trisect the portion of the line 4x+3y=12 intercepted between the axes. Find the equations of the straight lines.

A moving straight line always passes through a fixed point (alpha , beta) . Prove that the locus of the middle point of the portion of the line intercepted between the axes is (alpha)/(x)+(beta)/(y) = 2 .

A straight line passes through the point (3,5) and is such that the portion of it intercepted between the axes is bisected at the point . Find the equation of the straight line and also its distance from the origin.

A moving straight line always passes through a fixed point (alpha,beta) .Prove that the locus of the middile point of the portion of the line intercepted between the axes is alpha/x+beta/y=2

CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2012)
  1. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

    Text Solution

    |

  2. If the circles x^(2) + y^(2) + 2x + 2ky + 6 = 0 and x^(2) + y^(2) ...

    Text Solution

    |

  3. The line joining A (b cos alpha b sin alpha ) and B (a cos beta , ...

    Text Solution

    |

  4. If four distinct points (2k , 3k ) , (2 , 0) ,(0 , 3) and (0 , 0) lie ...

    Text Solution

    |

  5. Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right ...

    Text Solution

    |

  6. Let P (2 , -3) , Q (-2 , 1) be the vertices of the triangle PQR . If t...

    Text Solution

    |

  7. Let P be the midpoint of a chord joining the vertex of the parabola...

    Text Solution

    |

  8. The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at...

    Text Solution

    |

  9. The eccentric angle in the first quadrant of a point on the ellipse (x...

    Text Solution

    |

  10. The transverse axis of a hyperbola is along the x - axis and its leng...

    Text Solution

    |

  11. A point moves in such a way that the difference of its distances from...

    Text Solution

    |

  12. The number of integer values of m. for which the x - coordinate of the...

    Text Solution

    |

  13. If a straight line passes through the point (alpha , beta) and the...

    Text Solution

    |

  14. Let p , q , r be the altiudes of triangles with area s and perimeter ...

    Text Solution

    |

  15. Let C(1) and C(2) denote the centres of the circles x^(2) +y^(2)...

    Text Solution

    |

  16. A straight line through the point of intersection of the lines x + 2y ...

    Text Solution

    |

  17. Let P and Q be the points on the prabola y^(2) = 4x so that the lin...

    Text Solution

    |

  18. The incentre of an equilateral triangle is (1,1) and the equation of ...

    Text Solution

    |