Home
Class 12
MATHS
If non-zero numbers a, b, c are in H.P....

If non-zero numbers a, b, c are in H.P., then the straight line `(x)/(a)+(y)/(b)+(1)/(c )=0` always passes through a fixed point. That point is :

A

(-1, -2)

B

(-1, 2)

C

`(1, -(1)/(2))`

D

(1, -2)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in A. P., then st. line ax+by+c=0 will always pass through a fixed point whose co-ordinates are:

If the straight line ax +by+c=0 always passes through (1,-2) then a,b,c are in

If the straight line ax+by+c=0 always passes through (1, -2), then a, b, c are in:

If the straight line ax + by + c =0 always passes thorugh ( 1, - 2) , then a,b,c, are in :

If 3a + 2b + 6c = 0 the family of straight lines ax+by + c = 0 passes through a fixed point . Find the coordinates of fixed point .

If the line (x)/(a)+(y)/(b)=1 passes through the points (2,-3) and (4,-5), then (a, b) is

A straight line passing through a point on a circle is

The normal to the curve x=a(1+cos theta), y = a sin theta at 'theta' always passes through the fixed point :

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

    Text Solution

    |

  2. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

    Text Solution

    |

  3. Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bis...

    Text Solution

    |

  4. The position of a moving point in XY-plane at time t is given by (u co...

    Text Solution

    |

  5. If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same p...

    Text Solution

    |

  6. Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, ...

    Text Solution

    |

  7. The equation of base of an equilateral triangle is x+y=2 and vertex is...

    Text Solution

    |

  8. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the...

    Text Solution

    |

  9. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

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

    Text Solution

    |

  11. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  12. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

    Text Solution

    |

  13. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  14. If a vertex of a triangle is (1, 1) and the mid-points of two sides th...

    Text Solution

    |

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

    Text Solution

    |

  16. If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

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

    Text Solution

    |

  18. The co-ordinates of a point on the line x+y=3 such that the point is a...

    Text Solution

    |

  19. Consider three points P-= (-sin (beta-alpha), -cos beta), Q-= (cos (be...

    Text Solution

    |

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

    Text Solution

    |