Coordinate Geometry

Orthocentre and Area of Triangle PBC

❓ Question Let A B C ABC be a triangle such that the equations of the lines A B : 3 y − x = 2 and A C : x + y = 2 AB:\ 3y-x=2 \quad \text{and}…

❓ Concept Do circles sirf ek point par touch karte hain? 👉 Matlab pure geometry ka magic — no heavy algebra needed! Bas centres + radii + sec…

❓ Question Let the system of equations { 2 x + 3 y + 5 z = 9 7 x + 3 y − 2 z = 8 12 x + 3 y − ( 4 + λ ) z = 16 − μ \begin{cases} 2x + 3y + 5z = 9…

❓ Question Let C 1 C_1 be the circle in the third quadrant of radius 3 , that touches both coordinate axes . Let C 2 C_2 be the circle with …

❓ Question If the orthocenter of the triangle formed by the lines y = x + 1 , y = 4 x − 8 , y = m x + c is at the point ( 3 , − 1 ) (3,-1) , then f…

❓ Question Let A = { ( α , β ) ∈ R × R : ∣ α − 1 ∣ ≤ 4 , ∣ β − 5 ∣ ≤ 6 } and B = { ( α , β ) ∈ R × R : 16 ( α − 2 )² + 9…