Hyperbola

Conic Sections

The Eccentricity of the Hyperbola Whose Latus Rectum Is 8 and Whose Conjugate Axis Is Equal to Half of the Distance Between the Foci Is
ByShiwam October 27, 2026September 16, 2026

JEE Main 2016 PYQ: find the eccentricity of a hyperbola whose latus rectum is 8 and whose conjugate axis equals half the distance between its foci.

Read More The Eccentricity of the Hyperbola Whose Latus Rectum Is 8 and Whose Conjugate Axis Is Equal to Half of the Distance Between the Foci Is
Conic Sections

If A and B Are the Points of Intersection of the Circle x² + y² − 8x = 0 and the Hyperbola x²/9 − y²/4 = 1, and a Point P Moves on the Line 2x − 3y + 4 = 0, Then the Centroid of Triangle PAB Lies on the Line
ByShiwam September 2, 2026September 16, 2026

A and B are intersection points of a circle and hyperbola; P moves on 2x−3y+4=0. Find the line on which the centroid of triangle PAB always lies.

Read More If A and B Are the Points of Intersection of the Circle x² + y² − 8x = 0 and the Hyperbola x²/9 − y²/4 = 1, and a Point P Moves on the Line 2x − 3y + 4 = 0, Then the Centroid of Triangle PAB Lies on the Line