Which sets of lines are concurrent in the given figures? Also identify and state the point of concurrency for each set.
Q2. Check whether the lines are concurrent or not: (i) (ii) --- Background and Explanation Three straight lines are conc
Determine the value of if the lines are concurrent. --- Background and Explanation Three lines are said to be concurren
Show that the lines , and the -axis are concurrent. Also prove that the -axis bisects the angle between the lines and
Find the equations of the altitudes and the point of concurrency of the triangle when , and . What is the name of the
Find the equations of the right bisectors and the point of concurrency of the triangle when , and . What is the name o
Find the equations of the medians and the point of concurrency of the triangle when , and . What is the name of the po
Prove that (a) altitudes, (b) right bisectors, and (c) medians of the following triangles are concurrent: (i) , , (ii)
Find the area of the triangles: (i) ; ; (ii) ; ; --- Background and Explanation To find the area of a triangle when th
By finding the area of the triangle, show that the points , and are collinear. --- Background and Explanation Three po
Using the formula of area, find if the points , and are collinear. --- Background and Explanation Three points are co
The vertices of a triangle are , , and . Find if the area of the triangle is 10 square units. --- Background and Explan
Find the area of the following figures using the coordinate geometry method: (i) Triangle with vertices , , and (ii) Tr
(i) Find the area of the triangle bounded by the lines , and . (ii) Find the area of the triangle bounded by the lines
Q1. Find the lines represented by each of the following joint equations: (i) (ii) (iii) (iv) (v) (vi) --- Backgrou
Find the measure of the acute angle between the pair of lines represented by the following homogeneous equations: (i) (
Show that the lines represented by the following equations are coincident or distinct or imaginary. (i) (ii) (iii) (i
Show that the angle between the lines represented by the following equations is a right angle: (i) (ii) --- Background
Find the joint equation of lines through the origin and perpendicular to the lines: (i) (ii) (iii) (iv) --- Backgrou
Three jet fighters are flying straight in different directions along the lines: Check whether the jet fighters will pass
A farmer owns a triangular shaped piece of land with corners at , and . Calculate the cost of planting maize crop @ Rs.
Hira is designing a triangular section of a roof with vertices at points , and . She needs to calculate the area of the
A landscaper is designing a triangular garden bed with vertices , and . Calculate the cost of planting mango trees in t
A civil engineer is tasked with designing a roundabout where three main roads converge. The equations of the roads are:
Asad is arranging a flash light in a marriage ceremony. The position of the flash light is at the intersection of the li
A surveyor is mapping out a triangular park where three straight walkways meet. The walkways are represented by the equa
An astronomer is studying the behaviour of light rays passing through a converging lens. The lens focuses the rays at th
A welder is designing a triangular support structure for a building. The structure is made up of iron beams intersecting