Home
Class 11
MATHS
If the lines x cos alpha + y sin alpha =...

If the lines `x cos alpha + y sin alpha = P and x - sqrt(3) y+ 1 =0` are mutually perpendicular then `alpha=…....`

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|34 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Practice Work|76 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Find k if lines 5x - ky- 7=0 and 2x + 3y + 5 =0 are mutually perpendicular.

If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

P- alpha form of the line x+ sqrt(3) y - 4=0 is…......

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

If cos( alpha+beta) + sin(alpha-beta) = 0 and 2010tan beta + 1 = 0 then tan alpha is equal to

P_1 and P_2 are the length of perpendicular from origin to the line x sec theta + y cosec theta =a and x cos theta - y sin theta = a cos 2 theta then ….... of the following is valid.

if [ ( cos alpha, - sin alpha),(sin alpha, cos alpha)] and A +A^1 =I then alpha =……

Equation of the line passing through the point ( a cos^(3) theta , a sin^(3) theta ) and perpendicular to the line x sec theta + y cosec theta = a is x cos theta - y sin theta = cos 2 theta .

If 1 + cos alpha + cos^(2) alpha + ….oo= 2- sqrt2 then find the value of alpha. (0 lt alpha lt pi)

A line x cos alpha + y sin alpha = P is a tangent to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 . Prove that a^(2)cos^(2)alpha+b^(2)sin^(2)alpha=P^(2) .

KUMAR PRAKASHAN-STRAIGHT LINES-Text based MCQs
  1. .......... is the y intersept of the line passes from point (2,2) and ...

    Text Solution

    |

  2. Area of the triangle with verticies (-4,1),(1,2) and (4,-3) is …......

    Text Solution

    |

  3. In .......... ratio Y -axis divides line segment joining points (-3,-4...

    Text Solution

    |

  4. P1 and P2 are the length of perpendicular from origin to the line x se...

    Text Solution

    |

  5. If a+b + c=0 then line 3ax+by+c=0 passes from ….....of the following p...

    Text Solution

    |

  6. Lines axpm bypm c =0 represents …....... of the following.

    Text Solution

    |

  7. (5, 2) is the mid point of the line segment intercepted between axes t...

    Text Solution

    |

  8. P- alpha form of the line x+ sqrt(3) y - 4=0 is…......

    Text Solution

    |

  9. If the lines x cos alpha + y sin alpha = P and x - sqrt(3) y+ 1 =0 are...

    Text Solution

    |

  10. Perpendicular distance between 3x+4y-5=0 and 6x + 8y - 15=0 is …....

    Text Solution

    |

  11. Lines 3x + 4y = 5, 5x + 4y = 4 and lambdax + 4y = 6 passes from unique...

    Text Solution

    |

  12. (2,7) is the centroid of the triangle with verticies (4, 8) and (-2, 6...

    Text Solution

    |

  13. A(0,b) , B(0,0) and C(a,0) are verticies of Delta ABC. If the medians ...

    Text Solution

    |

  14. .......... is the foot of perpendicular from point (-2,3) to the line ...

    Text Solution

    |

  15. .......... of the following is the line joining the point of intersect...

    Text Solution

    |

  16. Angle between the ........... intersecting lines 2x-y+3=0 and x+2y+3=0...

    Text Solution

    |

  17. …..... Is the line passes from point (1,2) and perpendicular to the l...

    Text Solution

    |

  18. Lines ax+by =c and a'x + b'y=c' are mutually perpendicular then .........

    Text Solution

    |

  19. Angle between the lines (x)/( a) + (y)/( b) and (x)/(a) - (y)/( b) = 1...

    Text Solution

    |

  20. If the lines mx+ ( 2m + 3)y+ m + 6=0 and (2m+1) x + (m-1) y+m-9=0 inte...

    Text Solution

    |