HARD
11th ICSE
IMPORTANT
Earn 100

If the equation of the base of an equilateral triangle is x+y=2 and the vertex is (2,-1), then find the length of the side of the triangle.

Important Questions on Straight Lines

MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 6
Find the distance of the point (0,-1) from the line joining the points (1,3) and (-2,6).
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 7
The points A(2,3),B(4,-1) and C(-1,2) are the vertices of a triangle. Find the length of perpendicular from A to BC and hence find the area of ∆ABC.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 8
Find the length of perpendicular from the point (4,-7) to the line joining the origin and the point of intersection of the lines 2x-3y+14=0 and 5x+4y-7=0.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 9
A vertex of a rectangle is at the origin and two of its sides lie along the lines 5x-12y+26=0 and 12x+5y-39=0. Find the area of the rectangle.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 10
Find the equations of two straight lines which are parallel to the line x+7y+2=0 and at a unit distance from the point 2,-1.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 11
Find the equations of two straight lines which are perpendicular to the line 3x+4y-7=0 and are at a distance of 3 units from 2,3.
MEDIUM
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 12
Find the equations of lines with slope -1 and perpendicular distance from origin equal to 5 units.
HARD
11th ICSE
IMPORTANT
Understanding ISC Mathematics Class 11 Volume 2>Chapter 11 - Straight Lines>EXERCISE>Q 13
Find the equations of the two straight lines drawn through the point 0,1 on which the perpendiculars dropped from the point 2,2 are each of unit length.