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UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
- In the expansion of (1+x)^(m+n)the co-efficient of x^mis
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- if g(x)=(x-a)/x+x/(x-b)then show that g((a+b)/2)=(4ab)/(a^2-b^2)
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- Find the domain of definition of the function f(x)=1/(sqrt(5x-x^2-6))
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- If tan(pi/4-theta)=1/2then find sin2theta
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- Prove that 2sin(pi/8)=sqrt(2-sqrt2)
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- If Z is a complex number |Z+3|le5.then find the greatest and smallest ...
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- Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...
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- In the expansion of (x^2+K/x)^6the co-efficient of x^3is 160.what is t...
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- If (2^(2n)-1)is division by 3,then show that [2^(2(n+1))-1]is also div...
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- Find the equation of the st.line which pass through the pt(3,1) and pe...
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- Show that the locus of the pt of intersection of the st.lines xcosthe...
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- Find the focus of the parabola y=x^2+x+1.
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- Prove that the derivative of an odd function an ever function .
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- Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)
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- If y = sqrt(x+sqrt(x+sqrt(x+* * * infty))) then (dy)/(dx)=
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- Prove that Axx(BcupC)=(AxxB)cup(AxxC)
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- If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...
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- If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...
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- For all n ge 1 prove that (1)/(1.2)+ (1)/(2.3)+(1)/(3.4)+.....+(1)/...
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- Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...
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