Home
Class 12
MATHS
Find the equation of the line which inte...

Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of `30^0` with the positive direction of the x-axis.

Text Solution

Verified by Experts

Here, c=2 and m = tan `30^(@) = (1)/(sqrt(3))`.
Thus, the required equation of line is
`y = (1)/(sqrt(3))x+2`
` " or " x-sqrt(3) y + 2sqrt(3) = 0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise EXAMPLE|12 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 2.1|23 Videos

  • STRAIGHT LINE

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^(@) with positive direction of the x-axis.

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

Intersecting the x-axis at a distance of 3 units to the left of origin with slope -2 .

Determine x so that the line passing through (3,4) and (x ,5) makes an angle of 135^0 with the positive direction of the x-axis.

Find the equation of the circle which touches the x-axis at a distance +5 unit from the origin and cuts off an intercept of length 24 unit from the y-axis.

Find the equation of the circle which touches the positive y-axis at a distance of 4 units from the origin cuts off an intercept 6 units from the x-axis.

The equations of the circel which touch the x axis at a distance of 3 unit from the origin and intercepts a chord of length 6 unit on the y-axis, aer-

A circle of radius 5 units has diameter along the angle bisector of the lines x+y=2 and x-y=2. If the chord of contact from the origin makes an angle of 45^0 with the positive direction of the x-axis, find the equation of the circle.

Find the equations to the circles which touch the axis of y at a distance +4 from the origin and intercept a length 6 unit on the axis of x.

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.