Most Popular Questions & Answers For CBSE Class 12 Maths

Sol:
Given lines are 3l + m + 5n = 0

m = - (3l + 5n) -----------(1)

and 6mn - 2nl + 5lm = 0 ----------(2)

Substitute m in equation (2) we obtain
...

Answer (1)

Class-XII

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Kishore Kumar

Feb 2, 2014

What is one one and onto function? Explain with example

Answer.

Sol: for x₁≠ x₂ or f(x₁)

Adarsh Udayan

Jan 20, 2015

₀∫^π/2 log(sinx)dx

Answer.

Let I =

\int_{0}^{π}

Anubhav Singh

Feb 24, 2015

There is the probability that a mathematics teacher will give an unannounced test during any class meeting is 1/ 5. If a student is absent twice, what is the probability that he will miss at least one test?

This answer has an image. Please click on the question to read more.

Fawaz Qureshi

Jan 4, 2015

Prove that "Reversal Law of Transpose" fully , i.e (AB)^T = B^TA^T

Answer.

Let A = [ aij ]m×n and B = [ bjk ]n×p then
A' = [ cji ]n×m and B' = [ dkj ]p×n where cji = aij , dkj = bjk
The matrix AB will be order m×p, ...

Sukirtha

Nov 20, 2014

Vertices of a triangle are given by i^+3j^+2k^ , 2i^-j^+k^ and -i^+2j^+3k^ then area of triangle is

This answer has an image. Please click on the question to read more.

Answer (2)

Class-XII

Maths

Three Dimensional Geometry

Anubhav Singh

Feb 9, 2015

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?

please explain all the necessary steps in detail along with the formulas used and the diagram ?

Answer.

If a line makes angles α,β,ɣ with the axes we have α = β = ɣ .
cos α = cos β = cos ɣ or l = m = n .
l2 + m2 + n2 = 1
l2 + l2...

Misha Jain

Apr 22, 2014

An amount of Rs 5000 is put into three investments at the rate of interest of 6%, 7% and 8% per annum. The total annual income is Rs. 358. If the combined income from the first two investments is Rs. 70 more than the income from third, find the amount of each investment by matrix method.

This answer has an image. Please click on the question to read more.

Adarsh Udayan

Feb 11, 2015

∫(√tanx)dx

infinity

Bhoothnath

Jun 24, 2014

Value of sin 2π?

This answer has an image. Please click on the question to read more.

Answer (21)

Class-XII

Maths

Three Dimensional Geometry

Murtaza Nimachwala

Dec 10, 2014

Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

Sol:
Given lines are 3l + m + 5n = 0

m = - (3l + 5n) -----------(1)

and 6mn - 2nl + 5lm = 0 ----------(2)

Substitute m in equation (2) we obtain
...

Answer (1)

Class-XII

Maths

Relations and Functions

Kishore Kumar

Feb 2, 2014

What is one one and onto function? Explain with example

Answer.

Sol: for x₁≠ x₂ or f(x₁)

Adarsh Udayan

Jan 20, 2015

₀∫^π/2 log(sinx)dx

Answer.

Let I =

\int_{0}^{π}

Anubhav Singh

Feb 24, 2015

There is the probability that a mathematics teacher will give an unannounced test during any class meeting is 1/ 5. If a student is absent twice, what is the probability that he will miss at least one test?

This answer has an image. Please click on the question to read more.

Fawaz Qureshi

Jan 4, 2015

Prove that "Reversal Law of Transpose" fully , i.e (AB)^T = B^TA^T

Answer.

Let A = [ aij ]m×n and B = [ bjk ]n×p then
A' = [ cji ]n×m and B' = [ dkj ]p×n where cji = aij , dkj = bjk
The matrix AB will be order m×p, ...

Sukirtha

Nov 20, 2014

Vertices of a triangle are given by i^+3j^+2k^ , 2i^-j^+k^ and -i^+2j^+3k^ then area of triangle is

This answer has an image. Please click on the question to read more.

Answer (2)

Class-XII

Maths

Three Dimensional Geometry

Anubhav Singh

Feb 9, 2015

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?

please explain all the necessary steps in detail along with the formulas used and the diagram ?

Answer.

If a line makes angles α,β,ɣ with the axes we have α = β = ɣ .
cos α = cos β = cos ɣ or l = m = n .
l2 + m2 + n2 = 1
l2 + l2...

Misha Jain

Apr 22, 2014

An amount of Rs 5000 is put into three investments at the rate of interest of 6%, 7% and 8% per annum. The total annual income is Rs. 358. If the combined income from the first two investments is Rs. 70 more than the income from third, find the amount of each investment by matrix method.

This answer has an image. Please click on the question to read more.

Answer (2)

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Academic Questions & Answers Forum

∫(√tanx)dx

Value of sin 2π?

Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

What is one one and onto function? Explain with example

₀∫^π/2 log(sinx)dx

There is the probability that a mathematics teacher will give an unannounced test during any class meeting is 1/ 5. If a student is absent twice, what is the probability that he will miss at least one test?

Prove that "Reversal Law of Transpose" fully , i.e (AB)^T = B^TA^T

Vertices of a triangle are given by i^+3j^+2k^ , 2i^-j^+k^ and -i^+2j^+3k^ then area of triangle is

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?

please explain all the necessary steps in detail along with the formulas used and the diagram ?

An amount of Rs 5000 is put into three investments at the rate of interest of 6%, 7% and 8% per annum. The total annual income is Rs. 358. If the combined income from the first two investments is Rs. 70 more than the income from third, find the amount of each investment by matrix method.

∫(√tanx)dx

Value of sin 2π?

Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

What is one one and onto function? Explain with example

₀∫^π/2 log(sinx)dx

There is the probability that a mathematics teacher will give an unannounced test during any class meeting is 1/ 5. If a student is absent twice, what is the probability that he will miss at least one test?

Prove that "Reversal Law of Transpose" fully , i.e (AB)^T = B^TA^T

Vertices of a triangle are given by i^+3j^+2k^ , 2i^-j^+k^ and -i^+2j^+3k^ then area of triangle is

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?

please explain all the necessary steps in detail along with the formulas used and the diagram ?

An amount of Rs 5000 is put into three investments at the rate of interest of 6%, 7% and 8% per annum. The total annual income is Rs. 358. If the combined income from the first two investments is Rs. 70 more than the income from third, find the amount of each investment by matrix method.

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Academic Questions & Answers Forum

∫(√tanx)dx

Value of sin 2π?

Find the angle between the lines whose direction cosines are given by the equations 3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

What is one one and onto function? Explain with example

0∫π/2 log(sinx)dx

There is the probability that a mathematics teacher will give an unannounced test during any class meeting is 1/ 5. If a student is absent twice, what is the probability that he will miss at least one test?

Prove that "Reversal Law of Transpose" fully , i.e (AB)T = BTAT

Vertices of a triangle are given by i^+3j^+2k^ , 2i^-j^+k^ and -i^+2j^+3k^ then area of triangle is

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ? please explain all the necessary steps in detail along with the formulas used and the diagram ?

An amount of Rs 5000 is put into three investments at the rate of interest of 6%, 7% and 8% per annum. The total annual income is Rs. 358. If the combined income from the first two investments is Rs. 70 more than the income from third, find the amount of each investment by matrix method.

∫(√tanx)dx

Value of sin 2π?

Find the angle between the lines whose direction cosines are given by the equations 3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

What is one one and onto function? Explain with example

0∫π/2 log(sinx)dx

There is the probability that a mathematics teacher will give an unannounced test during any class meeting is 1/ 5. If a student is absent twice, what is the probability that he will miss at least one test?

Prove that "Reversal Law of Transpose" fully , i.e (AB)T = BTAT

Vertices of a triangle are given by i^+3j^+2k^ , 2i^-j^+k^ and -i^+2j^+3k^ then area of triangle is

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ? please explain all the necessary steps in detail along with the formulas used and the diagram ?

An amount of Rs 5000 is put into three investments at the rate of interest of 6%, 7% and 8% per annum. The total annual income is Rs. 358. If the combined income from the first two investments is Rs. 70 more than the income from third, find the amount of each investment by matrix method.

Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

₀∫^π/2 log(sinx)dx

Prove that "Reversal Law of Transpose" fully , i.e (AB)^T = B^TA^T

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?

please explain all the necessary steps in detail along with the formulas used and the diagram ?

Find the angle between the lines whose direction cosines are given by the equations
3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

₀∫^π/2 log(sinx)dx

Prove that "Reversal Law of Transpose" fully , i.e (AB)^T = B^TA^T

what are the direction ratios of a line equally inclined to the axes? How many such lines are there ?

please explain all the necessary steps in detail along with the formulas used and the diagram ?