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.
Text Solution
Verified by Experts
The correct Answer is:
`y-4=sqrt(3)(x+1) " " ["using the form," y-y_(1)=m(x-x_(1))]`.
Topper's Solved these Questions
STRAIGHT LINE
CHHAYA PUBLICATION|Exercise EXERCISE 2A (Multiple Choice Type Questions)|20 Videos
STRAIGHT LINE
CHHAYA PUBLICATION|Exercise EXERCISE 2A(Very Short Answer Type Questions)|14 Videos
MATHEMATICAL INDUCTION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos
Similar Questions
Explore conceptually related problems
A straight line passes through the point A(1,2) and makes an angle theta with the positive direction of x -axis . Find theta given that the distance of A from the point of intersection of this line with the line x+y=4 "is"(sqrt(6))/(3) unit.
A straight line passes throught the point P(3,-2) and makes an angle theta with the positive direction of x - axis Find theta , given that the distance of P from the point of intersection of this line with the line 3x+4y=4 is (3sqrt(2))/(5) units.
If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is
A straight line passes through the point (2,3) and forms a triangle of area 12 square unit with the coordinate axes . Find the equation of the straight line .
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 straight line which pass through the point (3,2) and make an angle of 45^(@) with the positive x axis.
The line joining the points (x ,2x)a n d(3,5) makes an obtuse angle with the positive direction of the x-axis. Then find the values of xdot
Find the equation of the straight line which pass through the point (sqrt(3),2) and make an angle of 60^(@) with the positive x axis.
A straight line in the yz-plane makes an angle 60^(@) with the positive z-axis. Find the direction cosines of the line.
A straight line through the point (3, -2) is inclined at an angle 60^(@) to the line sqrt3x+y=1 . If it intersects the X-axis, then its equation will be
CHHAYA PUBLICATION-STRAIGHT LINE-Sample Questions for Competitive Exams (Assertion-Reason Type)