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SHARAM PUBLICATION-MODEL QUESTION PAPER-5-EXERCISE
- For the binary operation a ** b = 3a + 2b for a, b in Z test whether i...
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- What is the principal value of tan^-1 (tan((2pi)/4)?
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- If Aalpha = [(cos alpha, sin alpha),(-sin alpha, cos alpha)], then wha...
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- If omega is a complex cube root of 1,then for what value of. lamda the...
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- Write interval in which the function f(x) = sin^-1(3-x) is differentia...
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- Write the anti derivative of 2^x + x ?
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- Form the differential equation from y= a cosec x by elliminating the a...
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- If f(x) = sqrtx and g (x) = x/4 then what is (g of) (x).?
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- Write the angle between veca and vecb with magnitude sqrt5 and 2 respe...
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- Write the distance of the plane 3x-4y + 12z = 3 from the origin.
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- Find the least positive integer r such that 185 in [r]7
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- If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...
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- if ** is the binary operation on N given by a**b= L. C. M of a and b. ...
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- Show that 2 tan^-1(1/4) + 2 tan^-1 (2/9) = tan^-1(4/3).
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- Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...
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- Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...
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- If A = [(-1, 3, 5),(1, -3, -5),(-1, 3, 5)] then show that A^2 = 9A
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- If [(x+y, x-2),(2x-y,0)] = [(2,2),(1,0)] then find the values of x,y?
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- Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])
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- Find the value of a such that the function f defined by f(x)={((sinax...
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