Home
Class 11
MATHS
Find the value of alpha and p if the equ...

Find the value of `alpha` and p if the equation `xcosalpha+ysinalpha=p` is the normal form of the line `sqrt(3x)+y+2=0`.

Text Solution

Verified by Experts

The correct Answer is:
`(7 pi)/6, 1`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT TAMIL|Exercise EXERCISE 10.3|18 Videos

  • STATISTICS

    NCERT TAMIL|Exercise Miscellaneous Exercise On Chapter 15|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

The normal form of sqrt3x+y=4 is:

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (0,1)dot

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

Express the equation x+sqrt3y-4=0 in Q (ii) normal form.

Find the values of alpha such that the variable point (alpha, "tan" alpha) lies inside the triangle whose sides are y=x+sqrt(3)-(pi)/(3), x+y+(1)/(sqrt(3))+(pi)/(6) = 0 " and " x-(pi)/(2) = 0

If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find the value of pdot

Transform the equation 3x+4y+12=0 in to normal form.

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

NCERT TAMIL-STRAIGHT LINES-Miscellaneous Exercise on Chapter 10
  1. Find the values of k for which the line (k - 3) x - (4 - k^(2)) y +k^(...

    Text Solution

    |

  2. Find the value of alpha and p if the equation xcosalpha+ysinalpha=p is...

    Text Solution

    |

  3. Find the equations of the lines, whose sum and product of intercepts a...

    Text Solution

    |

  4. What are the points on the y-axis whose distance from the line (x)/(3...

    Text Solution

    |

  5. Find perpendicular distance from the origin of the line joining the po...

    Text Solution

    |

  6. Find the equation of the line parallel to y-axis and drawn through the...

    Text Solution

    |

  7. Find the equation of a line drawn perpendicular to the line x/4 + y/6 ...

    Text Solution

    |

  8. Find the area of the triangle formed by the lines y - x = 0, x + y = 0...

    Text Solution

    |

  9. Find the value of p so that the three lines3x + y - 2 = 0, px + 2y - 3...

    Text Solution

    |

  10. If three lines whose equations are y = m(1) x + c(1) , y = m(2) x + c(...

    Text Solution

    |

  11. The equations of the lines through the point (3, 2) which makes an an...

    Text Solution

    |

  12. Find the equation of a line passing through the point of intersection ...

    Text Solution

    |

  13. Show that the equation of the line passing through the origin and maki...

    Text Solution

    |

  14. In what ratio, the line joining (-1, 1) " and " (5, 7) is divided by ...

    Text Solution

    |

  15. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) a...

    Text Solution

    |

  16. Find the direction in which a straight line must be drawn through the ...

    Text Solution

    |

  17. The hypotenuse of a right angled triangle has its ends at the points (...

    Text Solution

    |

  18. Find the image of the points (3, 8) with respect to the line x+3y=7 as...

    Text Solution

    |

  19. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the li...

    Text Solution

    |

  20. If sum of the perpendicular distances of a variable point P(x, y) from...

    Text Solution

    |