Home
Class 11
MATHS
The length of the perpendicular from the...

The length of the perpendicular from the point `(acos alpha, a sin alpha)` upon the straight line `y=xtanalpha+c,0lt alphalt (pi)/(2),c gt 0` is

A

c

B

`c cos alpha`

C

`c sin^(2)alpha`

D

`c sec^(2)alpha`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    ICSE|Exercise Multiple Choice Questions |46 Videos
  • STATISTICS

    ICSE|Exercise CHAPTER TEST |4 Videos
  • THE STRAIGHT LINE

    ICSE|Exercise CHAPTER TEST |15 Videos
ICSE-STRAIGHT LINES -Multiple Choice Questions
  1. The length of the perpendicular from the point (acos alpha, a sin alph...

    Text Solution

    |

  2. The point on the y-axis which is equidistant from the points (3,2) and...

    Text Solution

    |

  3. A circle of diameter 20 units passes through the point (-3,-1). If the...

    Text Solution

    |

  4. If point C(-4,1) divides the line segment joining the point A(2,-2) an...

    Text Solution

    |

  5. If the points A(-2,-1),B(1,0),C(a,3) and D(1,b) form a parallelogram A...

    Text Solution

    |

  6. If the middle points of the sides of a triangle are (1,1),(2,-3) and (...

    Text Solution

    |

  7. The vertices of triangle are A(-5,3),B(p-1) and C(6,q). If the centroi...

    Text Solution

    |

  8. The tangent of the angle between the lines joining the points (-1,2),...

    Text Solution

    |

  9. If a line joining the points (-2,6) and (4,8) is perpendicular to the ...

    Text Solution

    |

  10. If the points (-2,6) and (4,8) is perpendicular to the line joining th...

    Text Solution

    |

  11. If the line through (3,y) and (2,7) is parallel to the line through (-...

    Text Solution

    |

  12. The equation of line passing through (2,-3) and making an angle of 120...

    Text Solution

    |

  13. The inclination of the line x-y+3=0 with the positive direction of x-a...

    Text Solution

    |

  14. The equation of a line whose inclination is (5pi)/(6) and which cuts o...

    Text Solution

    |

  15. The equation of the line through (-1,5) making an intercept of -2 on y...

    Text Solution

    |

  16. The equation of the line which cuts of intercept 4 on x-ais and makes ...

    Text Solution

    |

  17. If the straight line y=mx+c passes through the points (2,4) and (-3,6)...

    Text Solution

    |

  18. A line passes through P(1,2) such that the portion of the line interce...

    Text Solution

    |

  19. The equation of a straight line on which the perpendicular from the or...

    Text Solution

    |

  20. The two lines ax+by+c=0 and a'x+b'y+c'=0 are perpendicular if (i) ab'...

    Text Solution

    |

  21. The angle between lines y=(2-sqrt(3))x+5 and y=(2+sqrt(3))x+7 is

    Text Solution

    |