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UNITED BOOK HOUSE-TANTIA HIGH SCHOOL-EXERCISE
- A relation R defined on N.(the set of all naturals numbers)is defined ...
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- Prove that cot70^@+4cos70^@=sqrt3
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- Find the value of (1/(2sin10^@)-2sin70^@)
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- Express (sqrt3-i)in the modulus amplitude form.
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- If Snbe the sum of the n consecutive terms of an A.P,find the value of...
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- If ^9P5 + 5. ^9P4 = ^I0Pr, find r.
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- If alphaand beta be two roots of the equation (x-a)(x-b)=c then show t...
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- Find the point on the straight line 3x-4y=25,nearest to the origin .
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- Find the centre and the radius of the circle.2x^2+2y^2-4x+8y-4=0
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- If theta be a variable parameter find the curve whose parametric equat...
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- Find the area of greatest square that can be inscribed given straight ...
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- Evaluate :lim(xrarr1)(x+x^2+x^3+...+x^n-n)/(x-1)
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- If y=(1-x)(2-x)(3-x)…(n-x),find dy/dx
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- show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3
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- For any two sets A,B ,prove that (AcapB)'=A'cupB'
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- If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1show that tan...
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- If sinx-siny=a and cosx+cosy=b,prove that tan((x+y)/2)=+-sqrt((4-a^2-b...
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- Prove that sintheta/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(c...
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- If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...
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- If a,b are real and a^2+b^2=1,then prove that the equation.(1-ix)/(1+i...
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