Properties of Triangles: JEE Questions & Solutions

If the orthocentre of the triangle formed by the lines y = x + 1, y = 4x - 8, and y = mx + c is at (3, -1), then m - c is:

Let B and C be the two points on the line y + x = 0 such that B and C are symmetric with respect to the origin. Suppose A is a point on y -…

For a triangle ABC, the value of 2A + 2B + 2C is least. If its inradius is 3 and incentre is M, then which of the following is NOT correct?

From the top A of a vertical wall AB of height 30 m, the angles of depression of the top P and bottom Q of a vertical tower PQ are 15^ and…

Let C(,) be the circumcenter of the triangle formed by the lines 4x + 3y = 69, 4y - 3x = 17, and x + 7y = 61. Then (( -)^2 + +) is equal to:

In the figure, 1 + 2 = 2 and 3 BE = 4 AB. If the area of CAB is 2 3 - 3 square units, when 2 1 is the largest, then the perimeter (in…

The angle of elevation of the top P of a tower from the feet of one person standing due South of the tower is 45^ and from the feet of…

In a triangle ABC, if A + 2 B + C = 2 and the lengths of the sides opposite to the angles A and C are 3 and 7 respectively, then A - C is…

If the line x=y=z intersects the line x A+y B+z C-18=0 and x 2A+y 2B+z 2C-9=0, where A,B,C are the angles of a triangle ABC, then 80 ( A2…