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The angle made by the straight line x ...

The angle made by the straight line `x cos alpha + y sin alpha = p ` with the negative direction of x - axis is _

A

`alpha `

B

`(pi)/(2) + alpha`

C

`-alpha`

D

`(pi)/(2) - alpha `

Text Solution

Verified by Experts

The correct Answer is:
D
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The angle made by the straight line xcosalpha+ysinalpha=p with the negative direction of x-axis is ____

Find the area of the triangle formed by the straight line x sin alpha + y cos alpha = p with the axes of coordinates .

Knowledge Check

  • Locus of mid-point of the portionof the line x cos alpha + y sin alpha =p between the coordinate axes is-

    A
    `x^(2) +y^(2) =(4)/(p^(2))`
    B
    `x^(2) +y^(2) =4p^(2)`
    C
    `(1)/(x ^(2))+(1)/(y^(2)) =(4)/(p^(2))`
    D
    `(1)/(x ^(2)) + (1)/(y^(2)) =(2)/(p^(2))`

  • If the straight line y= x sin alpha + a sec alpha is a tangent to the circle x^(2) + y^(2) = a^(2) then-

    A
    ` cos 2 alpha=1`
    B
    `sin^(2) alpha =1`
    C
    `sin 2 alpha =1`
    D
    `tan^(2) alpha =2`

    • Similar Questions

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    Show that the image of the point (h,k) with respect to the striaight line x cos alpha+ y sin alpha=p is the point (2 p cos alpha- h cos2 alpha- k sin 2 alpha, 2p sin alpha- h sin 2 alpha- k cos 2 alpha) .

    Find the locus of the mid - point of the portion of the line x cos alpha + y sin alpha = 4 intercepted between the axes of coordinates .

    Find the equation of the staight line passing through the point of intersection of the straight lines 2x+3y+4=0 and 3x+y-1=0 and inclined to the positive direction of the x - axis at an angle 135^(@) .

    Find the condition that the straight line x cos alpha+ y sin alpha=p is a tangent to the : ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

    A straight line passes throught the point (-1,4) and makes an angle 60^(@) with the positive direction of the x- axis . Find the equation of the straight line.

    Show that the equation of the straight line xcosalpha+ysinalpha=p can be expressed in the following form: (x-pcosalpha)/(-sinalpha)=(y-p sin alpha)/(cosalpha)=r

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