Home
Class 12
MATHS
If y = mx + c is a tangent to the circle...

If `y = mx + c` is a tangent to the circle `(x – 3)^2 + y^2 = 1` and also the perpendicular to the tangent to the circle `x^2 + y^2 = 1` at `(1/sqrt(2),1/sqrt(2))`, then

A

`c^2+7c+6=0`

B

`c^2-6c+7=0`

C

`c^2-7c+6=0`

D

`c^2+6c+7=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE (MAIN) 2020 QUESTION PAPER (7TH JAN - AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Question|25 Videos

  • JEE (MAIN) 2020 QUESTIONS ( 9TH JAN-AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise JEE (Main) 2020 Questions with Solutions Mathematics (9th Jan - Afternoon)|25 Videos

Similar Questions

Explore conceptually related problems

If a line, y = mx + c is a tangent to the circle, (x-1)^2 + y^2 =1 and it is perpendicular to a line L_1 , where L_1 is the tangent to the circle x^2 + y^2 = 8 at the point (2, 2), then :

If the tangent from a point p to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from p to the circle x^(2)+y^(2)=3, then the locus of p is

The tangents to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

The length of the transversal common tangent to the circle x^(2)+y^(2)=1 and (x-t)^(2)+y^(2)=1 is sqrt(21) , then t=

A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,1). A straight line L is perpendicular to PT is a tangent to the circle (x-3)^2 + y^2 = 1 Common tangent of two circle is: (A) x=4 (B) y=2 (C) x+(sqrt3)y=4 (D) x+2(sqrt2)y=6

If y=c is a tangent to the circle x^(2)+y^(2)–2x+2y–2 =0 at (1, 1), then the value of c is

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

The length of the tangent to the circle x^(2)+y^(2)-2x-y-7=0 from (-1, -3), is

MCGROW HILL PUBLICATION-JEE (Main) 2020 QUESTION PAPER (8TH JAN-AFTERNOON)-Multiple Choice Questions
  1. If alpha and beta be the coefficients of x^4 and x^2 respectively in t...

    Text Solution

    |

  2. If a hyperbola passes through the point P(10,16) and it has vertices a...

    Text Solution

    |

  3. lim(x rarr 0)(int0^x tsin(10t)dt)/x is equal to

    Text Solution

    |

  4. If y = mx + c is a tangent to the circle (x – 3)^2 + y^2 = 1 and also ...

    Text Solution

    |

  5. Let alpha=(-1+isqrt(3))/2 and a=(1+alpha)sum(k=0)^(100) alpha^(2k),b=s...

    Text Solution

    |

  6. The mirror image of the point (1,2,3) in plane is (-7/3,-4/3, -1/3) . ...

    Text Solution

    |

  7. The length of the perpendicular from the origin,on the normal to the c...

    Text Solution

    |

  8. Which of the following statements is a tautology?

    Text Solution

    |

  9. Let I=int1^2 (dx)/sqrt(2x^3-9x^2+12x+4) then

    Text Solution

    |

  10. If A=((2,2),(9,4)) and I=((1,0),(0,1)), then 10A^(-1) is equal to :

    Text Solution

    |

  11. The area (in sq. units) of the region {(x,y) in R^2: x^2 le y le 3-2x}...

    Text Solution

    |

  12. Let the set of all function f: [0,1]toR, which are containous on [0,1]...

    Text Solution

    |

  13. The differential equation of the family of curves, x^(2)=4b(y+b),b in ...

    Text Solution

    |

  14. The system of linear equations lambdax+2y+2z=5 2lambda x+3y+5z=8 ...

    Text Solution

    |

  15. It the 10^(th) term of an A. P. is 1/20 and its 20^(th) term is 1/10, ...

    Text Solution

    |

  16. Let a line y = mx ( m gt 0) intersect the parabola, y^2 = 4x at a po...

    Text Solution

    |

  17. Let f(x) be a polynomial of degree 3 such that f(-1) = 10, f(1) = -6, ...

    Text Solution

    |

  18. If sqrt(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=1...

    Text Solution

    |

  19. The number of 4 letter words (with or without meaning) that can be for...

    Text Solution

    |

  20. sum(n=1)^7(n(n+1)(2n+1))/4 is equal to

    Text Solution

    |