Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Let A = $open square brackets table row 0 cell 2 y end cell z row x y cell negative z end cell row x cell negative y end cell z end table close square brackets$ and A'. A = I, then the value of x² + y² + z² is-

1
2
½
None of these

The correct answer is: 1

I = A'A = $open square brackets table row 0 x x row cell 2 y end cell y cell negative y end cell row z cell negative z end cell z end table close square brackets$ $open square brackets table row 0 cell 2 y end cell z row x y cell negative z end cell row x cell negative y end cell z end table close square brackets$
= $open square brackets table row cell 2 x to the power of 2 end exponent end cell 0 0 row 0 cell 6 y to the power of 2 end exponent end cell 0 row 0 0 cell 3 z to the power of 2 end exponent end cell end table close square brackets$
$therefore$ 2x² = 6y² = 3z² = 1
$therefore$ x² + y² + z² = $fraction numerator 1 over denominator 2 end fraction$ + $fraction numerator 1 over denominator 6 end fraction$ + $fraction numerator 1 over denominator 3 end fraction$ = $fraction numerator 3 plus 1 plus 2 over denominator 6 end fraction$ =1

Related Questions to study

If A = $open square brackets table row 1 0 row 1 1 end table close square brackets$ or $open square brackets table row 1 0 row 0 1 end table close square brackets$ , then which of the following holds for all n ≥ 1, by principle of mathematical induction

If A = $open square brackets table row 1 0 row 1 1 end table close square brackets$ or $open square brackets table row 1 0 row 0 1 end table close square brackets$ , then which of the following holds for all n ≥ 1, by principle of mathematical induction

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is to be square root of two rowed unit matrix, then $alpha comma beta text and end text gamma$ should satisfy the relation-

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is to be square root of two rowed unit matrix, then $alpha comma beta text and end text gamma$ should satisfy the relation-

If A_r = $open parentheses table row r cell r minus 1 end cell row cell r minus 1 end cell r end table close parentheses$ where r is a natural number then |A₁| + |A₂| + |A₃| +……+ |A₂₀₀₆| must be equal to-

If A_r = $open parentheses table row r cell r minus 1 end cell row cell r minus 1 end cell r end table close parentheses$ where r is a natural number then |A₁| + |A₂| + |A₃| +……+ |A₂₀₀₆| must be equal to-

parallel

If A = $open square brackets table row 3 cell negative 4 end cell row 1 cell negative 1 end cell end table close square brackets$ , then Aⁿ (where n $element of$ N) is

If A = $open square brackets table row 3 cell negative 4 end cell row 1 cell negative 1 end cell end table close square brackets$ , then Aⁿ (where n $element of$ N) is

If A and B are two skew symmetric matrices of order n, then-

If A and B are two skew symmetric matrices of order n, then-

The correct order of acidic strength is:

The correct order of acidic strength is:

chemistry-General

parallel

Let E ( $alpha$ ) = $open square brackets table row cell cos to the power of 2 end exponent invisible function application alpha end cell cell cos invisible function application alpha sin invisible function application alpha end cell row cell cos invisible function application alpha sin invisible function application alpha end cell cell sin to the power of 2 end exponent invisible function application alpha end cell end table close square brackets$ . If $alpha$ and $beta$ differs by an odd multiple of $pi$ /2,then E( $alpha$ ) E( $beta$ ) is a -

Let E ( $alpha$ ) = $open square brackets table row cell cos to the power of 2 end exponent invisible function application alpha end cell cell cos invisible function application alpha sin invisible function application alpha end cell row cell cos invisible function application alpha sin invisible function application alpha end cell cell sin to the power of 2 end exponent invisible function application alpha end cell end table close square brackets$ . If $alpha$ and $beta$ differs by an odd multiple of $pi$ /2,then E( $alpha$ ) E( $beta$ ) is a -

If A is a n rowed square matrix, A = [a_ij] where a_ij= $open square brackets fraction numerator i over denominator j end fraction close square brackets$ , [ ] denotes greatest integer, then det (A) =

If A is a n rowed square matrix, A = [a_ij] where a_ij= $open square brackets fraction numerator i over denominator j end fraction close square brackets$ , [ ] denotes greatest integer, then det (A) =

If A = $open square brackets table row 0 cell negative 1 end cell 2 row 1 0 3 row cell negative 2 end cell cell negative 3 end cell 0 end table close square brackets$ , then A + 2A^T equals -

If A = $open square brackets table row 0 cell negative 1 end cell 2 row 1 0 3 row cell negative 2 end cell cell negative 3 end cell 0 end table close square brackets$ , then A + 2A^T equals -

parallel

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is to be square root of two rowed unit matrix then $alpha$ , $beta$ and $gamma$ should satisfy the relation

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is to be square root of two rowed unit matrix then $alpha$ , $beta$ and $gamma$ should satisfy the relation

If the matrix M_r is given by M_r = $open square brackets table row r cell r minus 1 end cell row cell r minus 1 end cell r end table close square brackets$ , r = 1, 2, 3 .... Then the value of det (M₁) + det(M₂) + .... + det (M₂₀₀₉) is

If the matrix M_r is given by M_r = $open square brackets table row r cell r minus 1 end cell row cell r minus 1 end cell r end table close square brackets$ , r = 1, 2, 3 .... Then the value of det (M₁) + det(M₂) + .... + det (M₂₀₀₉) is

The number of solutions of the matrix equationA² = $open square brackets table row 1 0 row 0 1 end table close square brackets$ is -

The number of solutions of the matrix equationA² = $open square brackets table row 1 0 row 0 1 end table close square brackets$ is -

parallel

Helium was discovered by:

Helium was discovered by:

chemistry-General

For a general reaction given, below the value of solubility product can be given as :

$K subscript s p end subscript equals left parenthesis x s right parenthesis to the power of X end exponent times left parenthesis y s right parenthesis to the power of y end exponent$ or $K subscript s p end subscript equals x to the power of x end exponent y to the power of y end exponent left parenthesis S right parenthesis to the power of x plus y end exponent$
Solubility product gives us not only an idea about the solubility of an electrolyte in a solvent but also helps in explaining concept of precipitation and calculation of H⁺ ion, OH^- ion. It is also useful in qualitative analysis for the identification and separation of basic radicals.
Which metal sulphides can be precipitated from a solution that is 0.01 M in Na⁺ , Zn²⁺, Pb²⁺ and Cu²⁺ and 0.10 M in H₂S at a pH of 1.0 ?

For a general reaction given, below the value of solubility product can be given as :

$K subscript s p end subscript equals left parenthesis x s right parenthesis to the power of X end exponent times left parenthesis y s right parenthesis to the power of y end exponent$ or $K subscript s p end subscript equals x to the power of x end exponent y to the power of y end exponent left parenthesis S right parenthesis to the power of x plus y end exponent$
Solubility product gives us not only an idea about the solubility of an electrolyte in a solvent but also helps in explaining concept of precipitation and calculation of H⁺ ion, OH^- ion. It is also useful in qualitative analysis for the identification and separation of basic radicals.
Which metal sulphides can be precipitated from a solution that is 0.01 M in Na⁺ , Zn²⁺, Pb²⁺ and Cu²⁺ and 0.10 M in H₂S at a pH of 1.0 ?

chemistry-General

A weak acid (or base) is titrated against a strong base (or acid), volume v of strong base (or acid) is plotted against pH of the solution. The weak protolyte i.e acid (or base) could be

A weak acid (or base) is titrated against a strong base (or acid), volume v of strong base (or acid) is plotted against pH of the solution. The weak protolyte i.e acid (or base) could be

chemistry-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.