Home
Class 11
MATHS
Find the values of theta and p, if the e...

Find the values of `theta` and p, if the equation `x cos theta+ y sin theta = p` is the normal form of the line `sqrt3x + y+2=0`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

Similar Questions

Explore conceptually related problems

Find the values of theta and p, if the equation x cos theta + y sin theta = p is the normal form of the line sqrt3 x+y + 2 = 0 .

Eliminate theta between the equation : x =a cos theta + b sin theta, y =a sin theta- b cos theta .

Find the value of theta (0^@ le theta le 90^@) satisfying : 2 sin^2 theta= 3 cos theta .

Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin theta .

Determine the range of values of 0 in [ 0,2 pi] for which (cos theta ,sin theta ) lies inside the triangle formed by the lines x+y-2=0, x - y - 1 = 0 and 6x + 2y - sqrt(10) = 0

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 slope of the normal to the curve x = a cos^3 theta, y = a sin^3 theta at theta = pi/4

Find the equation of the tangent line to the curve x = theta + sin theta, y = 1 + cos theta at theta = pi/4

Eliminate theta between the equation : x = sin theta + cos theta, y = sin theta-cos theta .

Find the equations of the tangent and the normal to the curve x = 1 - cos theta, y = theta - sin theta at theta = pi/4

MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Reduce the following to the normal form. Find their perpendicular-dist...

    Text Solution

    |

  2. Reduce the following equations into the normal form. Find their perpen...

    Text Solution

    |

  3. Find the values of theta and p, if the equation x cos theta+ y sin the...

    Text Solution

    |

  4. A line forms a triangle with co-ordinate axes. If the area of this tri...

    Text Solution

    |

  5. Write the slope of the st. line, which is perpendicular to x + 2y= 4.

    Text Solution

    |

  6. Find the acute angles between the st. lines : 2x-y+3=0 and x+y-2=0.

    Text Solution

    |

  7. Find the acute angles between the st. lines : y-3x-5=0 and 3y -x +6...

    Text Solution

    |

  8. Find the acute angles between the st. lines : sqrt3 x+y =1 and x+sqr...

    Text Solution

    |

  9. Find the acute angles between the st. lines : y-sqrt3 x-5=0 and 3y-x...

    Text Solution

    |

  10. Find the tangent of the angle between the lines whose intercepts on th...

    Text Solution

    |

  11. Prove that the angle between the st. lines : (a + b)x + (a-b)y = 2ab ...

    Text Solution

    |

  12. Find the measure of the angle A of the triangle ABC with vertices A (2...

    Text Solution

    |

  13. The line through (4, 3) and (- 6,0) intersects the line 5x + y = 0. Fi...

    Text Solution

    |

  14. The angle between two lins is pi/4 and the slope of one of them is 1...

    Text Solution

    |

  15. The slope of a line is double of the slope of another line. If tangent...

    Text Solution

    |

  16. Find the angle between the diagonals of parallelogram ABCD whose verti...

    Text Solution

    |

  17. Find the equation of the st. line joining the points (3, -1) and (2, 3...

    Text Solution

    |

  18. Find the equations of the st. lines which pass through (4, 5) and make...

    Text Solution

    |

  19. Find the equations of the lines, which pass through the point (4, 5) a...

    Text Solution

    |

  20. Find the equations of the lines through the point (3, 2) which make ac...

    Text Solution

    |