## Question

If the lines joining the origin to the points of intersection of the line *y* = *mx*+ 2 and the curve *x*^{2} + *y*^{2} = 1 are at right-angles, then

### Solution

The joint equation of the lines joining the origin and the point of intersection of the line *y* = *mx* + 2 and the curve *x*^{2} + *y*^{2} = 1 is

The lines given by the above equation at right angles.

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#### SIMILAR QUESTIONS

If the angle between the The Pair of Straight Lines represented by the equation , where ‘λ’ is a non-negative real number. Then, λ =

The equation

represents a pair of parallel straight lines, if

If the equation represents two straight lines, then the product from the origin on these straight lines, is

If represents two parallel straight lines, then

If represents two parallel lines, then the distance between them is

The equation of pair of lines joining origin to the points of intersection of*x*^{2} + *y*^{2} = 9 and *x *+ *y* =3, is

The tangent to the angle between the lines joining the origin to the points of intersection of the line y = 3x + 2 and the curve *x*^{2} + 2*xy* + 3*y*^{2} + 4*x* + 8*y* – 11 = 0, is

The angle between the lines joining the origin to the point of intersection of the line and the circle *x*^{2} + *y*^{2} = 4, is

The straight lines joining the origin to the points of intersection of the line*kx* + *hy* = 2*hk* with the curve (*x* – *h*)^{2} + (*y* – *k*)^{2} = *c*^{2} are at right angles, if

The equation represents a The Pair of Straight Lines, if