EASY
JEE Main/Advance
IMPORTANT
Earn 100

Reduce x+3y+4=0 to the
i Slope intercepts form and find its slope and y-intercept.
ii Intercepts form and find its intercepts on the axes.
iii Normal form and find values of P and α.

Important Questions on Point and Straight Line

MEDIUM
JEE Main/Advance
IMPORTANT
Find the number of straight lines passing through (2, 4) and forming a triangle of 16 sq. cm with the coordinate axis.
MEDIUM
JEE Main/Advance
IMPORTANT
Find the equation of the straight line that passes through the point A(-5, -4) and is such that the portion intercepted between the axes is divided by the point A in the ratio 1: 2 (internally).
HARD
JEE Main/Advance
IMPORTANT
The coordinates of the mid-points of the sides of a triangle ABC are D(2, 1),  E(5, 3) and F(3, 7) . Find the length and equation of its sides.
EASY
JEE Main/Advance
IMPORTANT
Find the straight line cutting an intercept of one unit on negative x-axis and inclined at 45° (in anticlockwise direction) with the positive direction of x-axis.
EASY
JEE Main/Advance
IMPORTANT
Through the point P(4, 1) a line is drawn to meet the line 3 x-y=0 at Q where PQ=1122. Determine the equation of line.
EASY
JEE Main/Advance
IMPORTANT
A line having slope '1' is drawn from a point A(-3, 0) cuts a curve y=x2+x+1 at P&Q. Find (AP) (AQ)
MEDIUM
JEE Main/Advance
IMPORTANT
Find the direction in which a straight line must be drawn through the point -1,2 so that its point of intersection with the line x+y=4 may be at a distance of 3 units from this point.
MEDIUM
JEE Main/Advance
IMPORTANT
Through the point (3,4) are drawn two straight lines each inclined at 45° to the straight line x-y=2. Find their equations and find also the area included by the three lines.