Straight Lines ...

The vertices of a triangle are ( 0 , 3 ) , ( - 3 , 0 ) and ( 3 , 0 ) . The orthocenter of the triangle is

The lines y = mx , y + 2x = 0 , y = 2x + λ and y = - mx + λ form a rhombus if m =

Two points ( a , 0 ) and ( 0 , b ) are joined by a straight line. Another point on this line is

The coordinates of the foot of perpendicular from ( 0 , 0 ) upon the line x + y = 2 are

The area of the triangle whose sides are along the lines x = 0 , y = 0 and 4x + 5y = 20 is

Point $$P(8,5)$$ is the midpoint of segment $$AB$$, Co-ordinates of $$A$$ are $$(5,y)$$ and $$B$$ are $$(x,-3)$$. What is the value of $$x$$?

Statement-I : Inclination and Slope of a Line give an indication of the Length of that Line.
Statement-II : Inclination and Slope of a Line give an indication of the Direction of that Line.
Choose the correct Alternative.

The distance of point A$$(-2, 3, 1)$$ from the line PQ through P$$(-3, 5, 2)$$, which makes equal angles with the axes is?

In which of these figures does the angle $$\theta$$ represent the inclination of line L.

When the Y-coordinates of two points lying on a line are non-zero and equal, and the X-coordinates are unequal, then :

Two adjacent sides of a rectangle are $$3{x^2} - 5{y^{2\,}}$$ and $$7{x^2} - xy$$. Find its perimeter?

What is the maximum positive value that slope of a line can take?

The point A $$(2a ,4a)$$, B$$(2a, 6a)$$ and C$$(2a + \sqrt 3 a, 5a)$$ (when $$a>0$$) are vertices of

If the projections of a line segment on the x, y and z axes in $$3$$-dimensional space are $$2, 3$$ and $$6$$ respectively, then the length of line segment is

The distance between the points $$(3,5)$$ and $$(x,8)$$ is $$5$$ units. Then the value of $$x$$