Home
Class 11
MATHS
Find the least and greatest values of th...

Find the least and greatest values of the distance of the point `(costheta,sintheta),theta in R ,` from the line `3x-4y+10=0.`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

A value of theta satifying 4costheta sintheta - 2sintheta =0 is

The distance of the point (-2,6) from the line 3x - 4y - 10=0

Find the general value of theta from the equaion sqrt(3)sintheta+costheta=1

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.

Find the distance of the point (3, - 5) from the line 3x - 4y - 26 =0 .

If 3tantheta=4 , find the value of (4costheta-sintheta)/(2costheta+sintheta)

Find the distance of the point (4,5) from the line 3x-5y+7=0.

Write the distance between the points A(10costheta,\ 0) and B(0,\ 10sintheta) .

If tantheta=4/5 , find the value of (costheta-sintheta)/(costheta+sintheta) .

If 3cottheta=4, find the value of (4costheta-sintheta)/(2costheta+sintheta) .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Find the least value of (x-2)^2+(y-2)^2 under the condition 3x+4y-2=0.

    Text Solution

    |

  2. theta1 and theta2 are the inclination of lines L1a n dL2 with the x-ax...

    Text Solution

    |

  3. Find the least and greatest values of the distance of the point (costh...

    Text Solution

    |

  4. A light ray coming along the line 3x+4y=5 gets reflected from the lin...

    Text Solution

    |

  5. Prove that the product of the lengths of the perpendiculars drawn f...

    Text Solution

    |

  6. Line a x+b y+p=0 makes angle pi/4 with xcosalpha+ysinalpha=p ,p in ...

    Text Solution

    |

  7. Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its ...

    Text Solution

    |

  8. A line is drawn perpendicular to line y=5x , meeting the coordinate ax...

    Text Solution

    |

  9. Find the coordinates of a point on x+y+3=0, whose distance from x+2y+2...

    Text Solution

    |

  10. If x-2y+4=0 and 2x+y-5=0 are the sides of an isosceles triangle having...

    Text Solution

    |

  11. If p is the length of perpendicular from the origin to the line who...

    Text Solution

    |

  12. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

    Text Solution

    |

  13. The center of a square is at the origin and its one vertex is A(2,1). ...

    Text Solution

    |

  14. A B C D is a square A-=(1,2),B-=(3,-4)dot If line C D passes through (...

    Text Solution

    |

  15. Find the distance between A(2,3) on the line of gradient 3/4 and the p...

    Text Solution

    |

  16. The equation of the straight line which passes through the point (-4,3...

    Text Solution

    |

  17. If one side of the square is 2x-y+6=0, then one of the vertices is (2,...

    Text Solution

    |

  18. The equation of the bisector of the acute angle between the lines 2x-y...

    Text Solution

    |

  19. Find equation of the line which is equidistant from parallel lines ...

    Text Solution

    |

  20. If the equations y=m x+c and xcosalpha+ysinalpha=p represent the same ...

    Text Solution

    |