Home
Class 12
MATHS
If the line y = mx - (m-1) cuts the circ...

If the line `y = mx - (m-1)` cuts the circle `x^2+y^2=4` at two real and distinct points then total values of m are

A

1

B

2

C

infinite

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

Observed the following statements I: The intercepts of the circle x^(2)+y^(2)-4x+13=0 on y-axis is sqrt(7) II: The intercept made by the circle x^(2)+y^(2)-4x-8y+13=0 on x-axis is 15 III: The straight line y=x+1 cuts the circle x^(2)+y^(2)=1 in two, two distinct points, then truness, falseness of the above statements are

The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 at distinct points if

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

Three concentric circles of which the biggest is x^2+ y^2= 1 , have their radii in A.P If the line y= x+1 cuts all the circles in real and distinct points. The interval in which the common difference of the A.P will lie is:

Three concentric circles of which the biggest is x^2+ y^2= 1 , have their radii in A.P If the line y= x+1 cuts all the circles in real and distinct points. The interval in which the common difference of the A.P will lie is:

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of m .

The straight-line y= mx+ c cuts the circle x^(2) + y^(2) = a^(2) in real points if :

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

The line y=mx+c cuts the circle x^2 + y^2 = a^2 at two distinct points A and B. Equation of the circle having minimum radius that can be drawn through the points A and B is:

VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. The circles having radii r(1) and r(2) intersect orthogonally. The len...

    Text Solution

    |

  2. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  3. If the line y = mx - (m-1) cuts the circle x^2+y^2=4 at two real and d...

    Text Solution

    |

  4. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

    Text Solution

    |

  5. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

    Text Solution

    |

  6. A foot of the normal from the point (4, 3) to a circle is (2, 1) and a...

    Text Solution

    |

  7. If the common chord of the circles x^(2) + ( y -lambda)^(2) =16 and x^...

    Text Solution

    |

  8. The equation of a circle is x^2+y^2=4. Find the center of the smallest...

    Text Solution

    |

  9. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  10. A square is formed by following two pairs of straight lines y^(2) - 14...

    Text Solution

    |

  11. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  12. The area bounded by circles x^2 +y^2=r^2, r = 1, 2 and rays given by 2...

    Text Solution

    |

  13. The equation of circle touching the |y| = x at a distance sqrt2 units ...

    Text Solution

    |

  14. The line y=mx+c cuts the circle x^2 + y^2 = a^2 at two distinct points...

    Text Solution

    |

  15. If the centroid of an equilateral triangle is (1,1) and having two ...

    Text Solution

    |

  16. The equation of the circle inscribed in the triangle formed by the coo...

    Text Solution

    |

  17. The equation of a circle with origin as centre and passing through t...

    Text Solution

    |

  18. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  19. Using integration, find the area of the triangle formed by negative x-...

    Text Solution

    |

  20. The sides of a square are x =4, x = 7, y =1 and y = 4 . The equation...

    Text Solution

    |