HARD
11th ICSE
IMPORTANT
Earn 100

Show that the points (2,-2),(8,4),(5,7),(-1,1) are the vertices of a rectangle.

Important Questions on Straight Lines

HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 11
Show that the points (3,2),(0,5),(-3,2),(0,-1) are the vertices of a square.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 12
Find the coordinates of the point which is at a distance of 2 units from (5,4) and 10 units from 11,-2.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 13
Using distance formula, show that (3,3) is the center of the circle passing through the points 6,2,0,4 and 4,6. Find the radius of the circle.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 14
In what ratio is the line joining the points (3,4) and (-2,1) divided by the y-axis ? Also find the coordinates of the point of division.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 14
Find the ratio in which the point P(k, 6) divides the line segment joining the points A(-4,3) and B(2,8). Also find the value of k.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 15
If A(-1,3),B(1,-1) and C(5,1) are three vertices of a triangle ABC, find the length of the median through A.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 16
If a vertex of a triangle is (-2,3) and the middle points of the sides through it are (0,-1) and (5,4), find the other vertices.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 17
Find the coordinates of the centre of the circle inscribed in a triangle whose angular points are (-36,7),(20,7) and (0,-8).