MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

Find the harmonic conjugate of the point R5,1 with respect to points P2,10 and Q6,-2.

Important Questions on Point and Straight Line

HARD
JEE Main/Advance
IMPORTANT
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 9
A and B are the points (3,4) and (5,-2) respectively. Find the co-ordinates of a point P such that PA=PB and the area of the triangle PAB=10 sq.units.
EASY
JEE Main/Advance
IMPORTANT
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 10
Find the area of the quadrilateral with vertices as the points given in following: 0,0, 4,3, 6,0, 0,3.
EASY
JEE Main/Advance
IMPORTANT
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 11
Find the area of the quadrilateral with vertices as the points given in following: 0,0, a,0, a,b, 0,b
EASY
JEE Main/Advance
IMPORTANT
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 12
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.
MEDIUM
JEE Main/Advance
IMPORTANT
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 13
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
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 14
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
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 15
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
Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-1>Q 16
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.