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searchtune

Feb 11, 2015



infinity

Bhoothnath

Jun 24, 2014

#### Value of sin 2π?



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
...

Kishore Kumar

Feb 2, 2014

#### What is one one and onto function? Explain with example



Sol: for x1  x2 or f(x1)

Jan 20, 2015

#### 0∫π/2 log(sinx)dx



Let I = $\underset{\text{0}}{\overset{\frac{\pi }{}}{\int }}$

Anubhav Singh

Feb 24, 2015



Fawaz Qureshi

Jan 4, 2015

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



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



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 ?



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...

Rajesh

Oct 5, 2013

#### State and prove de-moivre's theorem,



De-moivre’s theorem:
(cosθ + i sinθ)n = (cos nθ + i sin nθ) for all n ϵ N
Proof:
We have to prove this theorem u...

Feb 11, 2015



infinity

Bhoothnath

Jun 24, 2014

#### Value of sin 2π?



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
...

Kishore Kumar

Feb 2, 2014

#### What is one one and onto function? Explain with example



Sol: for x1  x2 or f(x1)

Jan 20, 2015

#### 0∫π/2 log(sinx)dx



Let I = $\underset{\text{0}}{\overset{\frac{\pi }{}}{\int }}$

Anubhav Singh

Feb 24, 2015



Fawaz Qureshi

Jan 4, 2015

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



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



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 ?



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...

Rajesh

Oct 5, 2013

#### State and prove de-moivre's theorem,



De-moivre’s theorem:
(cosθ + i sinθ)n = (cos nθ + i sin nθ) for all n ϵ N
Proof:
We have to prove this theorem u...

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