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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 11-EXERCISE
- If f(x)=x^5+x^3-2x+3,Prove that f'(1)+f'(-1)=4f(0).
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- Evaluate :lim(xrarroo)(1+2+3+...+n)/n^2
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- For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).
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- For any two positive acute angles theta and phi if sin(theta+phi)=k s...
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- Solve :sqrt3sinx+cosx=2
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- Prove by mathematical induction. 1.1! + 2. 2! + 3. 3! + ... +n . n! = ...
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- If z = x + iy then l z - 8| + Iz + 8| = 20. represents a ellipse
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- If (1+x)^n=c0+c1x+c2x^2+....+cnx^n,then show that c0/1+c2/3+c4/5+...=2...
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- If the ath and bth term of an AP are 1/b and 1/a,then show that (ab)th...
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- In /\XYZthe co-ordinate of Y and Z are (-a, 0) and (a, 0), andangle XZ...
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- If the three straight lines ax + 2y + 1 = 0, 3y + bx + 1 = 0 and cx+ 4...
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- If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...
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- Find the co-ordinate of a point equidistance from the points' (0, 0. 0...
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- Prove that lim(xrarr1)(x^2-sqrtx)/(sqrtx-1)=3
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- Prove that sqrt5 is irrational, (use the method of contradiction).
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- In xy plane, |x — y | = 1 represents an equation of a circle and one d...
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- Find the mean diaviation with respect to median of the frequency dist...
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- If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(th...
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- If sinalpha+sinbeta=1/2,cosalpha+cosbeta=5/4find the value of tanalpha...
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- Solve :(x+1)(x+2)(x+3)(x+4)=120
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