AP EAPCET 20 May 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 58 of 160

Marks: +1, -0

The distance from a point (1,1,1) to a variable plane π is 12 units and the points of intersections of the plane π and X,Y,Z-axes are A,B,C respectively. If the point of intersection of the planes through the points A,B,C and parallel to the coordinate planes is P, then the equation of the locus of P is

[AP EAPCET 20 May 2024 Shift 1]

(‌
1
xy
+‌
1
yz
+‌
1
zx
)=143(‌
1
x2
+‌
1
y2
+‌
1
z2
)
‌
1
x2
+‌
1
y2
+‌
1
z2
=144
(‌
1
x
+‌
1
y
+‌
1
z
−1)2=144(‌
1
x2
+‌
1
y2
+‌
1
z2
)
(‌
1
x
+‌
1
y
+‌
1
z
−1)2=144(‌
1
x2
+‌
1
y2
+‌
1
z2
)2

Validate

Go to Question:

Prev Question

Next Question