If `x-2y+4=0 and 2x+y-5=0` are the sides of an isosceles triangle having area `10sq dot units` , the equation of the third side is (a) `3x-y=-9` (b) `3x-y+11=0` (c) `x-3y=19` (d) `3x-y+15=0`

The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq. units. Then the equation of the circle is (a) x^2+y^2+2x-2y=62 (b) x^2+y^2+2x-2y=47 (c) x^2+y^2-2x+2y=47 (d) x^2+y^2-2x+2y=62

The extremities of the base of an isosceles triangle are (2,0)a n d(0,2) . If the equation of one of the equal side is x=2, then the equation of other equal side is (a) x+y=2 (b) x-y+2=0 (c) y=2 (d) 2x+y=2

In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0 are the equations of an altitude and an angle bisector, respectively, drawn from B , then the equation of B C is (a) a+y+1=0 (b) 5x+y+17=0 (c) 4x+9y+30=0 (d) x-5y-7=0

The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. The equation of the remaining side of the square can be (a) 2x-y+6=0 (b) 2x-y+8=0 (c) 2x-y-10=0 (d) 2x-y-14=0

The equations of two equal sides A Ba n dA C of an isosceles triangle A B C are x+y=5 and 7x-y=3 , respectively. Then the equation of side B C if a r( A B C)=5u n i t^2 is x-3y+1=0 (b) x-3y-21=0 3x+y+2=0 (d) 3x+y-12=0

The lines parallel to the normal to the curve x y=1 is/are (a) 3x+4y+5=0 (b) 3x-4y+5=0 (c) 4x+3y+5=0 (d) 3y-4x+5=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to x-y=2 is (a) x-y+3=0 (b) x-y+1=0 (c) x-y=0 (d) x-y-3=0

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is (a) x+y-2=0 (b) 8x+y-9=0 (c) 7x-y-6=0 (d) None of these

Which of the following lines have the intercepts of equal lengths on the circle, x^2+y^2-2x+4y=0 (A) 3x -y= 0 (B) x+3y=0 (C) x+3y+10=0 (D) 3x-y-10=0