Home
Class 11
MATHS
The number of values of c such that the ...

The number of values of `c` such that the straight line `y=4x+c` touches the curve `(x^2)/4+(y^2)/1=1` is (a) 0 (b) 1 (c) 2 (d) infinite

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the staight line x+ y= c touches the circlc x^2 + y^2= 2 , then the value of |c| is

If the straight line y= 4x -5 touches the curve y^(2) = px^(3) + q at (2, 3), then the values of p and q are-

The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - 9y^(2) = 36 if-

The number of triangles that the four lines y = x + 3, y = 2x + 3, y = 3x + 2, and y + x = 3 form is (a) 4 (b) 2 (c) 3 (d) 1

For which of the following values of m is the area of the regions bounded by the curve y=x-x^2 and the line y=m x equal 9/2? (a) -4 (b) -2 (c) 2 (d) 4

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=2 (c) x+y=2 (d) none of these

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a) (a , b) (b) (b ,a) (c) (-a ,-b) (d) none of these

If the line a x+b y+c=0 is a normal to the curve x y=1, then (a) a >0,b >0 (b) a >0,b >0 (d) a 0

Determine the constant c such that the straight line joining the points (0,3) and (5-2) is a tangent to the curve y=(c )/(x+1) .

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If P(x ,y) is any point on the ellipse 16 x^2+25 y^2=400 and f1=(3,...

    Text Solution

    |

  2. Find the equation of the hyperbola whose foci are (8,3)a n d(0,3) and ...

    Text Solution

    |

  3. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  4. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

    Text Solution

    |

  5. Find the value of m for which y=mx+6 is a tangent to the hyperbola (x^...

    Text Solution

    |

  6. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)...

    Text Solution

    |

  7. One the x-y plane, the eccentricity of an ellipse is fixed (in size a...

    Text Solution

    |

  8. Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1).

    Text Solution

    |

  9. The equation of one directrix of a hyperbola is 2x+y=1, the correspond...

    Text Solution

    |

  10. The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the cent...

    Text Solution

    |

  11. A hyperbola having the transverse axis of length 2sintheta is confocal...

    Text Solution

    |

  12. If it is posssible to draw the tangent to the hyperbola (x^(2))/(a^(2)...

    Text Solution

    |

  13. The set of values of m for which it is possible to draw the chord y=sq...

    Text Solution

    |

  14. Find the equations of the tangents to the hyperbola x^(2)-9y^(2)=9 tha...

    Text Solution

    |

  15. Let a and b be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

    Text Solution

    |

  16. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

    Text Solution

    |

  17. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  18. Let P(6, 3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

    Text Solution

    |

  19. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    Text Solution

    |

  20. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

    Text Solution

    |