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Maths-

General

Easy

Question

Let $A equals open curly brackets table attributes columnalign left end attributes row cell c o s to the power of negative 1 end exponent x end cell cell c o s to the power of negative 1 end exponent y end cell cell c o s to the power of negative 1 end exponent end cell z row cell c o s to the power of negative 1 end exponent y end cell cell c o s to the power of negative 1 end exponent z end cell cell c o s to the power of negative 1 end exponent x end cell blank row cell c o s to the power of negative 1 end exponent z end cell cell c o s to the power of negative 1 end exponent x end cell cell c o s to the power of negative 1 end exponent y end cell blank end table close curly brackets$ such that $vertical line A vertical line equals 0$ , then maximum value of $x plus y plus z$ is

3
0
1
2

The correct answer is: 3

Related Questions to study

Statement‐I : The inverse of the matrix $A equals left square bracket a subscript i j end subscript right square bracket subscript n cross times n end subscript$ where $a subscript i j end subscript equals 0 comma$ $i greater or equal than j$ is $B equals left square bracket a subscript i j to the power of negative 1 end exponent end subscript right square bracket subscript n cross times n end subscript$
Statement‐II : The inverse of singular matrix does not exist.

Hence option D is the suitable option

Statement‐I : The inverse of the matrix $A equals left square bracket a subscript i j end subscript right square bracket subscript n cross times n end subscript$ where $a subscript i j end subscript equals 0 comma$ $i greater or equal than j$ is $B equals left square bracket a subscript i j to the power of negative 1 end exponent end subscript right square bracket subscript n cross times n end subscript$
Statement‐II : The inverse of singular matrix does not exist.

Hence option D is the suitable option

Let $P equals open square brackets a subscript i j end subscript close square brackets$ be a $3 cross times 3$ matrix and let $Q equals left square bracket b subscript i j end subscript right square bracket$ , where $b subscript i j end subscript equals 2 to the power of i plus j end exponent a subscript i j end subscript$ for $1 less than i comma$ $j less than 3$ If the determinant of $P$ is 2, then the determinant of the matrix $Q$ is ‐

Let $P equals open square brackets a subscript i j end subscript close square brackets$ be a $3 cross times 3$ matrix and let $Q equals left square bracket b subscript i j end subscript right square bracket$ , where $b subscript i j end subscript equals 2 to the power of i plus j end exponent a subscript i j end subscript$ for $1 less than i comma$ $j less than 3$ If the determinant of $P$ is 2, then the determinant of the matrix $Q$ is ‐

The power factor of the circuit is $1 divided by square root of 2$ The capacitance of the circuit is equal to

The power factor of the circuit is $1 divided by square root of 2$ The capacitance of the circuit is equal to

physics-General

parallel

In a L–R decay circuit, the initial current at t = 0 is I. The total charge that has flown through the resistor till the energy in the inductor has reduced to one–fourth its initial value, is

In a L–R decay circuit, the initial current at t = 0 is I. The total charge that has flown through the resistor till the energy in the inductor has reduced to one–fourth its initial value, is

physics-General

The current in the given circuit is increasing with a rate a = 4 amp/s. The charge on the capacitor at an instant when the current in the circuit is 2 amp will be :
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/610610/1/1102617/Picture43.png" alt=""

The current in the given circuit is increasing with a rate a = 4 amp/s. The charge on the capacitor at an instant when the current in the circuit is 2 amp will be :
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/610610/1/1102617/Picture43.png" alt=""

physics-General

The radius of curvature of the left and right surface of the concave lens are 10cm and 15cm respectively. The radius of curvature of the mirror is 15cm

The radius of curvature of the left and right surface of the concave lens are 10cm and 15cm respectively. The radius of curvature of the mirror is 15cm

physics-General

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An object O is kept infront of a converging lens of focal length 30cm behind which there is a plane mirror at 15cm from the lens

An object O is kept infront of a converging lens of focal length 30cm behind which there is a plane mirror at 15cm from the lens

physics-General

A diminished image of an object is to be obtained on a large screen 1 m from it. This can be achieved by

A diminished image of an object is to be obtained on a large screen 1 m from it. This can be achieved by

physics-General

A curved surface of radius R separates two medium of refractive indices $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ ₂ as shown in figures A and B Identify the correct statement(s) related to the formation of images of a real object O placed at x from the pole of the concave surface, as shown in figure B

A curved surface of radius R separates two medium of refractive indices $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ ₂ as shown in figures A and B Identify the correct statement(s) related to the formation of images of a real object O placed at x from the pole of the concave surface, as shown in figure B

physics-General

parallel

A curved surface of radius R separates two medium of refractive indices $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ as shown in figures A and B Choose the correct statement(s) related to the virtual image formed by object O placed at a distance x, as shown in figure A

A curved surface of radius R separates two medium of refractive indices $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ as shown in figures A and B Choose the correct statement(s) related to the virtual image formed by object O placed at a distance x, as shown in figure A

physics-General

A curved surface of radius R separates two medium of refractive indices $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ as shown in figures A and B Choose the correct statement(s) related to the real image formed by the object O placed at a distance x, as shown in figure A

A curved surface of radius R separates two medium of refractive indices $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ as shown in figures A and B Choose the correct statement(s) related to the real image formed by the object O placed at a distance x, as shown in figure A

physics-General

Two refracting media are separated by a spherical interface as shown in the figure. PP’ is the principal axis, m₁ and m₂ are the refractive indices of medium of incidence and medium of refraction respectively. Then :

Two refracting media are separated by a spherical interface as shown in the figure. PP’ is the principal axis, m₁ and m₂ are the refractive indices of medium of incidence and medium of refraction respectively. Then :

physics-General

parallel

In the figure shown a point object O is placed in air on the principal axis. The radius of curvature of the spherical surface is 60 cm. I_f is the final image formed after all the refractions and reflections

In the figure shown a point object O is placed in air on the principal axis. The radius of curvature of the spherical surface is 60 cm. I_f is the final image formed after all the refractions and reflections

physics-General

In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?

In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?

physics-General

The figure shows a ray incident at an angle i = $pi$ /3. If the plot drawn shown the variation of | r – i | versus $fraction numerator mu subscript 1 end subscript over denominator mu subscript 2 end subscript end fraction equals k comma left parenthesis r equals blank a n g l e blank o f blank r e f r a c t i o n blank right parenthesis$

The figure shows a ray incident at an angle i = $pi$ /3. If the plot drawn shown the variation of | r – i | versus $fraction numerator mu subscript 1 end subscript over denominator mu subscript 2 end subscript end fraction equals k comma left parenthesis r equals blank a n g l e blank o f blank r e f r a c t i o n blank right parenthesis$

physics-General

parallel

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