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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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