Straight Lines ...

If the graphs of the equations $$2x + 5y = 7$$ and $$6x + cy = 11$$ are parallel lines, c is equal to

Let $$S$$ be the set of points whose abscissas and ordinates are natural numbers. Let $$P \in S$$ such that the sum of the distance of $$P$$ from $$(8,0)$$ and $$(0,12)$$ is minimum among all elements in $$S$$. Then the number of such points $$P$$ in $$S$$ is

If a straight line $$y=2x+k$$ passes through the point $$(1,2)$$ then the value of $$k$$ is equal to:

Which of the following sets of points is collinear

In the figure, PB is perpendicular segment from the point A$$(4, 3)$$. If PA = PB then find the coordinate of B.

Area of the triangle formed by the points $$\left( 0,0 \right) ,\left( 2,0 \right) $$ and $$\left( 0,2 \right) $$ is 

What is the perimeter of the triangle with vertices $$A (-4, 2), B (0, -1)$$ and $$C (3, 3)$$?

Area of the triangle formed by the points $$(0,0),(2,0)$$ and $$(0,2)$$ is

Find the value of $$a$$ if area of the triangle is $$17$$ square units whose vertices are $$(0,0), (4,a), (6,4)$$.                         

The vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1). Find the cosine of angle ABC.