The straight lines represented by the equation `135 x^2-136 x y+33 y^2=0` are equally inclined to the line (a) `x-2y=7` (b) x+2y=7 (c) `x-2y=4` (d) `3x+2y=4`

Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 are equally inclined

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is (a) x+y=2 (b) x-y=2 (c) 2x-y=1 (d) none of these

If the lines y = 3x + 1 " and " 2y = x + 3 are equally inclined to the line y = mx + 4 ,find the value of m.

Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

Examine whether the equation x^(2) + y^(2) - x - 4y + 7 = 0 represents a circle.

The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by the line mirror y=0 is a. a x^2-2h x y-b y^2=0 b. b x^2-2h x y+a y^2=0 c. x^2+2h x y+a y^2=0 d. a x^2-2h x y+b y^2=0

Find the equation of normal to the parabola y^(2)=4x , paralle to the straight line y=2x .

If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y=mx +4 , (1/2 < m < 3) then find the values m

If the straight line y =kx+3 is a tangent to the hyperbola 7x^2-4y^2=28 , find K

The equation of a tangent to the hyperbola 3x^(2)-y^(2)=3 , parallel to the line y = 2x +4 is