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JBD PUBLICATION-MODEL PAPER (10)-EXERCISE
- If x+iy=(a+ib)/(a-ib), then prove that x^2+y^2=1
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- Find (a+b)^4-(a-b)^4. Hence evaluate : (sqrt3 +sqrt2)^4 -(sqrt3 -sqrt...
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- Find the rth term from the end in the expansion of (x+a)^n.
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- Show that the points A(2,3,4), B(3,4,2), C(4,2,3) form the vertices o...
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- Identify the quantifier in the following statements and write the nega...
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- Find the component statements of the following and check whether it is...
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- Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A n...
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- If f (x) = loge ((1+x)/(1-x)), prove that: f (x) +f (y)= f ((x+y)/(1+x...
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- Prove the following by using the principle of mathematical induction f...
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- If ""^(n)C(r ): ""^(n)C(r+1)=1:2 and ""^(n)C(r+1): ""^(n)C(r+2)=2:3, ...
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- Find the number of different signals that can be generated by arrangin...
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- Find the sum of all natural numbers lying between 100 and 1000, which ...
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- Find the three number is G.P. such that their sum is 19 and sum of the...
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- P(a,b) is the mid-point of a line segment between axes. Show that the ...
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- Find the equations of the ellipse whose length of the major axis is 20...
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- Evaluate: underset(xrarr5)lim (1-sqrt(x-4))/5.
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- If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina
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- An integer is chosen from the first 200 integers. Find the probability...
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- Find the square root of -15 - 8i.
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- If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that: (a^2+b^2)(c^2+d^2)(e...
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