RS Aggarwal Solution Class 11 Maths Chapter 20 - Straight Lines

Find the distance between the points:

(i) A(2, -3) and B(-6, 3)

(ii) C(-1, -1) and D(8, 11)

(iii) P(-8, -3) and Q(-2, -5)

(iv) R(a + b, a – b) and S(a – b, a + b)

Find the distance of the point P(6, -6) from the origin.

If a point P(x, y) is equidistant from the points A(6, -1) and B(2, 3), find the relation between x and y.

Find a point on the x-axis which is equidistant from the points A(7, 6) and B(-3, 4).

Find the distance between the points A(x₁, y₁) and B(x₂, y₂), when

(i) AB is parallel to the x-axis

(ii) AB is parallel to the y-axis.

A is a point on the x-axis with abscissa -8 and B is a point on the y-axis with ordinate 15. Find the distance AB.

Find a point on the y-axis which is equidistant from A(-4, 3) and B(5, 2).

Using the distance formula, show that the points A(3, -2), B(5, 2) and C(8,8) are collinear.

Show that the points A(7, 10), B(-2, 5) and C(3, -4) are the vertices of an isosceles right-angled triangle.

Show that the points A(1, 1), B(-1, -1) and C(-√3, √3) are the vertices of an equilateral triangle each of whose sides is 22 units.