A coordinate plane is a 2-dimensional plane which is formed by the intersection of two perpendicular lines called as X-axis and Y-axis.

True

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False

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Solution

The correct option is A True

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Q. In a coordinate plane, the intersection point of the X-axis and the Y-axis is called the origin

Q. In a cartesian plane, the point of intersection of x-axis and y-axis is called as:

Q. Equation of a plane passing through the intersection of the planes

x + y - z + 2 = 0

and

x - y + z + 3 = 0

and which intersects exactly one coordinate axis, is?

Match the two columns.
$\begin{matrix} C o l u m n - I & C o l u m n - I I (A) T h e d i s t a n c e o f a p o i n t f r o m t h e x - a x i s a r e c a l l e d & (p) C o o r d i n a t e a x e s (B) T h e d i s t a n c e o f a p o i n t f r o m t h e y - a x i s a r e c a l l e d & (q) O r d i n a t e (C) T h e l i n e s o f a c o o r d i n a t e p l a n e a r e c a l l e d & (r) q u a d r a n t s (D) T h e p a r t s o f a p l a n e m a d e b y t h e c o o r d i n a t e a x e s a r e c a l l e d & (s) a b s c i s s a \end{matrix}$
Choose the correct option:

Q. A plane which is tangent to the sphere

(x - a)^{2} + (y - a)^{2} + (z - a)^{2} = 2 a^{2}

a normal is drawn to the sphere which makes equal intercepts to the coordinate axis. Let the the equation of the line of the intersection is

x - 2 a = \frac{y - a}{- 2} = z - 0

Then the equation of the tangent plane is

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