Home
Class 12
MATHS
The range of theta in (0, pi) such that ...

The range of `theta` in `(0, pi)` such that the point (3, 5) and `(sin theta, cos theta)` lie on the same side of the line `x+y-1=0` is

A

`(0, pi//4)`

B

`(0, pi//2)`

C

`(pi//4, 3pi//4)`

D

`(pi//2, 3pi//4)`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|168 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

If sin 2 theta+cos theta =0 then theta=

Distance between the points (0,0) (a cos theta, a sin theta)

If 3 cot theta = 5, then (5 sin theta - 3 cos theta)/(5 sin theta + 3 cos theta)

If 2 sin^(2)theta = 3 cos theta , then the value of theta in [0, 2pi] are

Solve sin 5 theta = cos 2 theta ,0 < theta < pi .

The locus of the point ( a cos theta + b sin theta, a sin theta - b cos theta ) where 0 le theta lt 2pi is

If x cos theta + y sin theta = a , x sin theta - y cos theta = b then

If sin theta + cos theta = (1)/(5) and 0 le theta le pi , then tan theta is

Evaluate int_(0)^(pi) sin^(3) theta(1+2 cos theta)(1+ cos theta)^(2) d theta

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. The slope of a straight line passing through A(5, 4) is -5//12. The p...

    Text Solution

    |

  2. A line passing through A(1, -2) has slope 1. The points on the line at...

    Text Solution

    |

  3. A line is drawn through P(3, 4) inclined at an angle 3pi/4 with x-axis...

    Text Solution

    |

  4. A line which makes an acute angle theta with the positive dirction of ...

    Text Solution

    |

  5. The ratio in which the line y = x divides the segment joining (2, 3) a...

    Text Solution

    |

  6. The ratio in which the line 3x-4y+5=0 divides the line segment joining...

    Text Solution

    |

  7. The ratio in which the line joining the points A(-1, -1) and B(2, 1) d...

    Text Solution

    |

  8. If A(2, -1) and B(6, 5) are two points the ratio in which the foot of ...

    Text Solution

    |

  9. Let 2x-3y+1=0 be a line. The points (3, 4), (1, 2) lie in

    Text Solution

    |

  10. If the line 3x+4y=8 is denoted by L, then the points (3, -5), (-5, 2)

    Text Solution

    |

  11. Which of the following sets of points lie on the negative side, and on...

    Text Solution

    |

  12. Let O be the origin A(3, -2), B(1, 2) and C(1, 1). The pair of points ...

    Text Solution

    |

  13. If the points (1, 2) and (3, 4) were to be on the same side of the li...

    Text Solution

    |

  14. The range of theta in (0, pi) such that the point (3, 5) and (sin thet...

    Text Solution

    |

  15. The line segment joining the points (1, 2) and (k, 1) is divided by t...

    Text Solution

    |

  16. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  17. The vertices of a triangle are (2, 4), (4, -2), (-3, -6). Then the ori...

    Text Solution

    |

  18. Let ABC be a triangle. If P is a point such that AP divides BC in the ...

    Text Solution

    |

  19. A line L cuts the sides AB, BC of Delta ABC in the ratio 2:5, 7:4 res...

    Text Solution

    |

  20. A straight line through the origin O meets the parallel lines 4x+2y=9 ...

    Text Solution

    |