Home
Class 12
MATHS
The equation to the chord joining two po...

The equation to the chord joining two points `(x_1,y_1)` and `(x_2,y_2)` on the rectangular hyperbola `xy=c^2` is: (A) `x/(x_1+x_2)+y/(y_1+y_2)=1` (B) `x/(x_1-x_2)+y/(y_1-y_2)=1` (C) `x/(y_1+y_2)+y/(x_1+x_2)=1` (D) `x/(y_1-y_2)+y/(x_1-x_2)=1`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The equation of the chord joining two points (x_(1),y_(1)) and (x_(2),y_(2)) on the rectangular hyperbola xy=c^(2) , is

The equation of the chord joining the points (x_(1) , y_(1)) and (x_(2), y_(2)) on the rectangular hyperbola xy = c^(2) is :

The chord joining the points (x_(1),y_(1)) and (x_(2),y_(2)) on the curve y^(2)=12x is a focal chord if y_(1)y_(2)=

If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) be collinear, show that: (y_2 - y_3)/(x_2 x_3) + (y_3 - y_1)/(x_3 x_2) + (y_1 - y_2)/(x_1 x_2) = 0

If the line joining the points (-x_(1),y_(1)) and (x_(2),y_(2)) subtends a right angle at the point (1,1), then x_(1)+x_(2)+y_(2)+y_(2) is equal to

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

If chords of contact of the tangent from two points (x_1,y_1) and (x_2,y_2) to the ellipse x^2/a^2+y^2/b^2=1 are at right angles , then (x_1x_2)/(y_1y_2) is equal to

Three points A(x_1 , y_1), B (x_2, y_2) and C(x, y) are collinear. Prove that: (x-x_1) (y_2 - y_1) = (x_2 - x_1) (y-y_1) .

RESONANCE DPP-JEE MAINS-All Questions
  1. If z1=10+6iandz2=4+2i be two complex numbers and z be a complex number...

    Text Solution

    |

  2. If vec a and vec b are non-zero and non-collinear vectors, then ve...

    Text Solution

    |

  3. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

    Text Solution

    |

  4. The minimum area of the triangle formed by the tangent to the ellipse ...

    Text Solution

    |

  5. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  6. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  7. The first term of a sequence of numbers is a1=5 . Succeeding terms are...

    Text Solution

    |

  8. The vectors vec a=3 veco-2 vec j+2 vec k and vec b=- vec i-2 vec k a...

    Text Solution

    |

  9. The distance between the middle point of B C and the foot of the perpe...

    Text Solution

    |

  10. Tangent and normal to the curve y=2s in x+s in2x are drawn at p(x=pi/3...

    Text Solution

    |

  11. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1) 21 b. 25 c. 26...

    Text Solution

    |

  12. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i...

    Text Solution

    |

  13. 3 firemen X, Y and Z shoot at a common target. The probabilities that ...

    Text Solution

    |

  14. If vec a= hat i+ hat j+ hat k& vec b= hat i-2 hat j+ hat i , then the...

    Text Solution

    |

  15. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

    Text Solution

    |

  16. If f(x),g(x) be twice differentiable function on [0,2] satisfying f''(...

    Text Solution

    |

  17. Let A=[1 0 1 1] . Then which of following is/are true? a. ("lim")(n-...

    Text Solution

    |

  18. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  19. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  20. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

    Text Solution

    |