`A B C D` is a square `A-=(1,2),B-=(3,-4)dot` If line `C D` passes through `(3,8),` then the midpoint of `C D` is

The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21), and D(3,16)dot If a line passing through the origin divides the parallelogram into two congruent parts, then the slope of the line is

A B C D is a square of unit area. A circle is tangent to two sides of A B C D and passes through exactly one of its vertices. The radius of the circle is a) 2-sqrt(2) b) sqrt(2)-1 c) 1//2 d) 1/(sqrt(2))

Find the slopes of lines passing through the given point. C(5,-2) and D(7,3)

Let C be a curve defined by y=e^a+b x^2dot The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2)dot Then the value of 2a-3b is_____.

show that the straight line passing through the points A (6,7,5) and B (8,10,6) is perpendicular to the straight line passing through the points C (10, 2,-5) and D (8,3,-4).

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

The area of triangle A B C is 20c m^2dot The coordinates of vertex A are -5,0) and those of B are (3,0)dot The vertex C lies on the line x-y=2 . The coordinates of C are (5,3) (b) (-3,-5) (-5,-7) (d) (7,5)

Show that square ABCD is a parallelogram, if A(-1,2), B(-5,-6) C(3,-2) and D(7,6)

If the line joining the points (0,3)a n d(5,-2) is a tangent to the curve y=C/(x+1) , then the value of c is 1 (b) -2 (c) 4 (d) none of these

If a!=0 and the line 2b x+3c y+4d=0 passes through the points of intersection of the parabolas y^2=4a x and x^2=4a y , then (a) d^2+(2b+3c)^2=0 (b) d^2+(3b+2c)^2=0 (c) d^2+(2b-3c)^2=0 (d)none of these