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3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

If a parallelepiped is formed by planes drawn through the points $(5, 8, 10)$ and $(3, 6, 8)$ parallel to the coordinate planes, then the length of the diagonal of the parallelepiped is

(a) $2 \sqrt[]{3}$

(b) $3 \sqrt[]{2}$

(c) $\sqrt[]{2}$

(d) $\sqrt[]{3}$

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Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} G i v e n points a r e A (5, 8, 10) a n d B (3, 6, 8) \\ ∴ A B = \sqrt[]{{(5 - 3)}^{2} + {(8 - 6)}^{2} + {(10 - 8)}^{2}} = \sqrt[]{4 + 4 + 4} = \sqrt[]{12} = 2 \sqrt[]{3} \\ H e n c e, t h e c o r r e c t o p t i o n i s (a) . \end{array}$

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3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

The locus of a point for which $x = 0$ is

(a) $x y$ -plane

(b) $y z$ -plane

(c) $z x$ -plane

(d) None of these

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Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} O n t h e y z p l a n e, x = 0 \\ H e n c e, t h e l o c u s o f t h e point i s y z p l a n e . \\ H e n c e, t h e c o r r e c t o p t i o n i s (b) . \end{array}$

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New answer posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

The locus of a point for which $y = 0, z = 0$ is

(a) Equation of x-axis

(b) Equation of y-axis

(c) Equation of z-axis

(d) None of these

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Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} W e k n o w t h a t o n e e q u a t i o n o f x a x i s, y = 0, z = 0 \\ H e n c e, t h e l o c u s o f t h e point i s e q u a t i o n o f x a x i s . \\ H e n c e, t h e c o r r e c t o p t i o n i s (a) . \end{array}$

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New question posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

The locus of a point for which $y = 0, z = 0$ is

(a) Equation of $x$ -axis

(b) Equation of $y$ -axis

(c) Equation of $z$ -axis

(d) None of these

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New answer posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

A plane is parallel to yz-plane so it is perpendicular to:

(a) x -axis

(b) y-axis

(c) z-axis

(d) None of these

0 Follower 2 Views

Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} A n y p l a n e p a r a l l e l t o y z - p l a n e i s p e r p e n d i c u l a r t o x - a x i s . \\ H e n c e, t h e c o r r e c t o p t i o n i s (a) . \end{array}$

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New question posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

A plane is parallel to yz-plane so it is perpendicular to:

(a) x -axis

(b) y -axis

(c) z -axis

(d) None of these

0 Follower 1 View

New question posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

A plane is parallel to $y z$ -plane so it is perpendicular to:

(a) $x$ -axis

(b) $y$ -axis

(c) $z$ -axis

(d) None of these

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New answer posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

The point $(2, 3, 4)$ lies in the

(a) First octant

(b) Seventh octant

(c) Second octant

(d) Eighth octant

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Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} T h e point (- 2, - 3, - 4) l i e s i n s e v e n t h octant . \\ H e n c e, t h e c o r r e c t o p t i o n i s (b) . \end{array}$

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New answer posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

Equation of $y$ -axis is considered as

(a) $x = 0, y = 0$

(b) $y = 0, z = 0$

(c)

(d) None of these

0 Follower 2 Views

Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} O n y - a x i s, x = 0 a n d z = 0 \\ H e n c e, t h e c o r r e c t o p t i o n i s (c) . \end{array}$

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New answer posted

3 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 11th Chapter Twelve

$x$ -axis is the intersection of two planes

(a) $x y$ and $x z$

(b) $y z$ and $z x$

(c) $x y$ and $y z$

(d) None of these

0 Follower 2 Views

Payal Gupta

Contributor-Level 10

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} W e k n o w t h a t o n t h e x y a n d x z p l a n e s, t h e l i n e o f intersection i s x a x i s . \\ H e n c e, t h e c o r r e c t o p t i o n i s (a) . \end{array}$

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