Two equal sides of an isosceles triangle are given by `7x-y+3=0` and `x+y=3`, and its third side passes through the point `(1,-10)`. Find the equation of the third side.

Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0 . If ortho centre of the triangle is (1,1) . Find the equation of third side of the triangle.

A horizontal plane 4x-3y+7z=0 is given. Find a line of greatest slope passes through the point (2,1,1) in the plane 2x+y-5z=0.

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Find the equation of a line perpendicular to the line x-2y+ 3=0 and passing through the point (1,-2) .

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm. per second. How fast is the area decreasing when the two equal sides are equal to the base ?

Two sides of a triangle are given by the roots of the equation x^(2) -2sqrt3 x+2 =0. The angle between the sides is (pi)/(3). Find the perimeter of Delta.

The three sides of a triangle are given by (x^2 - y^2)(2x+3y-6) = 0 . If the points (-2,a) lies inside and (b,1) lies outside the triangle, then

The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x gt 0, y gt 0 . The triangle is