If e and e’ be the eccentricities of two conics S = 0 and S’ = 0 and if e2 +e’2 = 3, then both S and S’ can be
For a parabola the eccentricity is 1.
For an ellipse the eccentricity is less than 1.
For a hyperbola the eccentricity is greater than 1.
So, the conics can be hyperbolas.
If m is a variable, the locus of the point of intersection of the lines is a/an
If the chords of contact of tangents from two points (x1, y1) and (x2, y2) to the hyperbola are at right angles, then is equal to
The locus of a point P(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola
The equation of the chord joining two points (x1, y1) and (x2, y2) on the rectangular hyperbola xy = c2 is
If the line y = 2x + λ be a tangent to the hyperbola 36x2 – 25y2 = 3600, then λ is equal to
From any point on the hyperbola tangents are drawn to the hyperbola . The area cut-off by the chord of contact on the asymptotes is equal to
PQ and RS are two perpendicular chords of the rectangular hyperbola xy= c2. If C is the centre of the rectangular hyperbola, then the product of the slopes of CP, CQ, CR and CS equal to
Let be two points on the hyperbola . If (h, k) is the point of intersection of the normal of P and Q, then k is equal to
If x = 9 is the chord of contact of the hyperbola x2 – y2 = 9, then the equation of the corresponding pair of tangents is
If e1 is the eccentricity of the ellipse and e2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e1e2 = 1, then the equation of the parabola, is