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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2012-MATHEMATICS
- Inverse of a diagonal non-singular matrix is
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- If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...
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- If veca , vecb and vecc are three non-coplanar vectors and vecp , vecq...
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- If (veca xx vecb)^(2) + (veca * vecb)^(2) = 144 and |veca| = 4 , then ...
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- Which of the following is false ?
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- 2 cos^(-1) x = sin^(-1) (2x sqrt(1 - x^(2))) is valid for all values o...
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- If alpha is a complex number such that alpha^(2) - alpha + 1 = 0 , the...
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- If cos alpha + 2 cos beta + 3 cos gamma = 0 , sin alpha + 2 sin beta +...
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- If the conjugate of (x + iy) ( 1 - 2i) is 1 + i, then
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- If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 1...
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- The locus of the point of intersection of perpendicular tangents to th...
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- If m sin^(-1) x = log (e) y , then (1 - x^(2)) y'' - xy' =
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- If y = e^(log(e) [1 + x + x^(2) + …]) , then (dy)/(dx) =
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- The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...
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- If a ball is thrown vertically upward and the height 's' reached in ti...
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- The sum of two positive numbers is given . If the sum of their cubes i...
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- int(pi//6)^(pi//3) (sin^(3) x)/(sin^(3) x + cos^(3) x) dx=
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- Lt(x to 0) (x 2^(x) - x)/(1 - cos x ) =
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- (3x + 1)/(( x- 1) (x - 3)) = (A)/(x - 1) + (B)/(x - 3) , then sin^(-1)...
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- If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 =...
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