Home
Class 12
MATHS
The circle passing through (t,1), (1,t) ...

The circle passing through `(t,1), (1,t) and (t,t)` for all values of t also passes through

A

`(1,-1)`

B

`(-1,1)`

C

`(-1,-1)`

D

`(1,1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|56 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The circle passing through the distinct points (1, t) , (t 1) & (t,t) for all real values of t,passes through the point (a.b),then a ^(2)+b^(2) is?

Find the current passing through battery at t=0 and t= oo

Calculate the amount of current passing through a wire at t=9 s, if the electric charge passing through a cross section of wire in t time is given as q(t)=7t^2+9t-2 .

If t_1a n dt_2 are roots of eth equation t^2+lambdat+1=0, where lambda is an arbitrary constant. Then prove that the line joining the points (a t1,22a t_1)a d n(a t2,22a t_2) always passes through a fixed point. Also, find the point.

If t_(1) and t_(2) are roots of the equation t^(2)+lambda t+1=0 where lambda is an arbitrary constant.Then the line joining the points ((at_(1))^(2),2at_(1)) and (a(t_(2))^(2),2at_(2)) always passes through a fixed point then find that point.

If f(t)=(1-t)/(1+t) then the value of f'(1/t) is

A parabola with vertex (2,0) and axis of symmetry parallel to the y-axis,passes through (3,1) and (-3,t), then the value of t is.30 (b) 35 (c) 20 (d) 25

Let ABCD be a square of side length 2 units. C_(2) is the circle through vertices A, B, C, D and C_(1) is the circle touching all the sides of the square ABCD. L is a line through A A line M through A is drawn parallel to BD. Point S moves such that its distances from the line BD and the vertex A are equal. If locus of S cuts. M at T_(2) and T_(3) and AC at T_(1) , then area of DeltaT_(1)T_(2)T_(3) is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(...

    Text Solution

    |

  2. If a circle of area 16pi has two of its diameters along the line 2x -...

    Text Solution

    |

  3. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

    Text Solution

    |

  4. The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 wil...

    Text Solution

    |

  5. If the point (2,k) lies outside the circles x^2+y^2+x+x-2y-14=0a n dx^...

    Text Solution

    |

  6. The shortest distance between the circles x ^(2) + y ^(2) =1 and (x-9)...

    Text Solution

    |

  7. Find the parametric equations of the circles x^(2)+y^(2)=16.

    Text Solution

    |

  8. The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect th...

    Text Solution

    |

  9. The equation of a circle of area 22pi square units for which each of t...

    Text Solution

    |

  10. If a chord of a circle x ^(2) +y ^(2) =4 with one extermity at (1, sqr...

    Text Solution

    |

  11. Consider L (1) : 3x + y + alpha -2 =0 and L (2) : 3 x + y -alpha + 3 =...

    Text Solution

    |

  12. If a circle has two of its diameters along the lines x+y=5 and x-y=1 a...

    Text Solution

    |

  13. The number of integer values of k for which the equation x^2 +y^2+(k-1...

    Text Solution

    |

  14. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

    Text Solution

    |

  15. The equation of a circle, which is mirror change of the circle x ^(2) ...

    Text Solution

    |

  16. Two parallel chords are drawn on the same side of the centre of a circ...

    Text Solution

    |

  17. Let C be the circle whose diameter is the line segment formed by the l...

    Text Solution

    |