Home
Class 11
MATHS
Let the lines (y-2)=m1(x-5) and (y+4)=m2...

Let the lines `(y-2)=m_1(x-5)` and `(y+4)=m_2(x-3)` intersect at right angles at `P` (where `m_1 and m_2` are parameters). If the locus of `P` is `x^2+y^2+gx+fy+7=0` , then the value of `|f+g|` is__________

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

Two straight lines (y-b)=m_1(x+a) and (y-b)=m_2(x+a) are the tangents of y^2=4a xdot Prove m_1m_2=-1.

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+c)=0 , then

If m is the minimum value of f(x , y)=x^2-4x+y^2+6y when x and y are subjected to the restrictions 0lt=xlt=1 and 0lt=ylt=1, then the value of |m| is________

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2asintheta, where theta is a parameter. The locus of the point P is a/an

The line joining (5, 0) to (10 cos theta, 10 sin theta) is divided internally in the ratio 2 : 3 at P. If theta varies, then locus of P is (x - 3)^2 + y^2 = m^2 , then the value of m is :

If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find the value of m.

If the tangent at any point P(4m^(2),8m^(3)) of x^(3)-y^(2)=0 normal also to the curve x^(3)-y^(2)=0 , then the value of m is-

The lines x+y-1=0,(m-1)x+(m^(2)-7)y-5=0and(m-2)x+(2m-5)y=0 are -

If the straight line y=my+1 be the tangent of the parabola y^2=4x at the point (1,2), then the value of m will be

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

    Text Solution

    |

  2. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

    Text Solution

    |

  3. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

    Text Solution

    |

  4. A variable circle passes through the point A(a, b) and touches the x-a...

    Text Solution

    |

  5. Find the equation of the circle if the chord of the circle joining (1,...

    Text Solution

    |

  6. Find the equation of the circle which passes through (1, 0) and (0, 1)...

    Text Solution

    |

  7. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

    Text Solution

    |

  8. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

  9. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

    Text Solution

    |

  10. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

    Text Solution

    |

  11. The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points A and B . ...

    Text Solution

    |

  12. Find the equation of the circle which passes through the points (1,-2)...

    Text Solution

    |

  13. If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum val...

    Text Solution

    |

  14. Show that a cyclic quadrilateral is formed by the lines 5x+3y=9,x=3y ,...

    Text Solution

    |

  15. A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle...

    Text Solution

    |

  16. A point P moves in such a way that the ratio of its distance from two ...

    Text Solution

    |

  17. The sum of the slopes of the lines tangent to both the circles x^2+y^2...

    Text Solution

    |

  18. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |

  19. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

    Text Solution

    |

  20. Prove that for all values of theta , the locus of the point of interse...

    Text Solution

    |