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



None of these

easy
Solution
We have,
and,
The combined equation of the straight lines joining the origin to the points of intersection of (i) and (ii) is
Lines given by this equation are at right angle.
SIMILAR QUESTIONS
Distance between the pair of lines represented by the equation
If the angle between the The Pair of Straight Lines represented by the equation , where ‘λ’ is a nonnegative 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 ofx^{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} + 2xy + 3y^{2} + 4x + 8y – 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
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 rightangles, then