Home
Class 11
MATHS
Let A=(-1,0),B=(3,0) and P Q be any line...

Let `A=(-1,0),B=(3,0)` and `P Q` be any line passing through (4, 1) having slope `mdot` Find the range of `m` for which there exist two points on `P Q` at which `A B` subtends a right angle.

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

Passing through the point (– 4, 3) with slope 1/2 then the equation of the line is?

Find the slope of the line passing through the given two point (a, 0) and (0, b)

The image of P(a,b) on the line y=-x is Q and the image of Q on the line y=x is R find the mid-point of P and R

Find the slope of the line passing through the given two point A(0, 4), B(4, 0)

Find the slope of the line passing through the given two point (0, 0) and ( sqrt(3),3)

Find the slope of the line passing through the given two point (2a, 3b) and (a, -b)

Find the slope of the line passing through the given two point A(3, -2), B(-6, -2)

P and Q are two points on a line passing through (2, 4) and having slope m. If a line segment AB subtends a right angles at P and Q, where A(0, 0) and B(6,0), then range of values of m is

Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0,- 4) and B (8,0).

The straight line passing through P(x_1,y_1) and making an angle alpha with x-axis intersects Ax + By + C=0 in Q then PQ =________________

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

    Text Solution

    |

  2. Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x1, y1)do...

    Text Solution

    |

  3. Let A=(-1,0),B=(3,0) and P Q be any line passing through (4, 1) having...

    Text Solution

    |

  4. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

    Text Solution

    |

  5. The equation of radical axis of two circles is x + y = 1. One of the ...

    Text Solution

    |

  6. Find the parametric form of the equation of the circle x^2+y^2+p x+p y...

    Text Solution

    |

  7. S is a circle having the center at (0,a) and radius b(b < a)dot A vari...

    Text Solution

    |

  8. The point on a circle nearest to the point P(2,1) is at a distance of ...

    Text Solution

    |

  9. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

    Text Solution

    |

  10. Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on ...

    Text Solution

    |

  11. Find the equation of the family of circle which touch the pair of stra...

    Text Solution

    |

  12. Find the center of the circle x=-1+2costheta,y=3+2sintheta.

    Text Solution

    |

  13. Column I|Column II (a)Two intersecting circle| p. have a common ...

    Text Solution

    |

  14. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  15. If the intercepts of the variable circle on the x- and y-axis are 2 ...

    Text Solution

    |

  16. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  17. Two rods of lengths a and b slide along the x- and y-axis , respective...

    Text Solution

    |

  18. If a circle passes through the point intersection of the co-ordinate a...

    Text Solution

    |

  19. A circle with center at the origin and radius equal to a meets the axi...

    Text Solution

    |

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

    Text Solution

    |