[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

[Most UniQue™]

I have combined them because there were too many sticky threads and I thought it is confusing and besides these aren't threads which are always crowded so its better to have one thread for a subject rather then having 3 threads for each unit of a subject.

It makes it confusing whether the question belongs to p1 p2 or p3. Ex. for those who are studying p1 and want to answer the doubts for their own revision also.

[Malak]

It makes it confusing whether the question belongs to p1 p2 or p3. Ex. for those who are studying p1 and want to answer the doubts for their own revision also.

Everyone can specify which unit it is and people who have done unit 2 or 3, obv., would know that its from unit 1 

[silvercameron]

Q) f(x)=x²+4kx+(3+11k) where k is constant.
Write this in the form (x+p)²+q where p and q are constants to be found in terms of k.

[astarmathsandphysics]

(x+k/2)^2 +3+11k-(k/2)^2

[silvercameron]

thanks a lot, sir.

[astarmathsandphysics]

No probs

[urni.nath]

could you pls solve this :
Prove : 10sin^2(x)-5cos^2(x)+2=4sin(x)

[donhassan]

could you pls solve this :
10sin^2(x)-5cos^2(x)+2=4sin(x)

10sin^2(x)-5cos^2(x)+2=4sin(x)
10sin^2(x)-5(1-sin^2(x))+2=4sin(x)
10sin^2(x)-5+5sin^2(x)+2=4sin(x)
15sin^2(x)-4sin(x)-3=0
solve this equation as quadratic equation
u will get
sin(x)=0.6   and     sin(x)=-1/3  => 19.47

(x)=36.9 degree               =180+19.47  = 199.5
(x)=143.1 degree              =360-19.47  =340.5

hope u understood this piece of cake

[urni.nath]

Thanks for your help! I really appreciate it.

[Most UniQue™]

1.Given that there is no term in x in the expansion of (1 ? 2x)(1 + ax)5, find the value of the
constant a.

2. Check the attachment

Please help. Got exam on Saturday. Thanks

[astarmathsandphysics]

Here you are unique

[Alpha]

Oh, Astar came before me. Thanks Astar.

[astarmathsandphysics]

no probs. Go see theeducationchannel.info
I am making videos there

[Most UniQue™]

Thank You Astar!

Another problem:

[astarmathsandphysics]

Done step by tiny step in attachment. Am in a slow mood.