List of top Mathematics Questions asked in KCET

If the middle term of the $A.P$ is $300$ then the sum of its first $51$ terms is
The angle between the lines whose direction cosines are $\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{\sqrt{3}}{2}\right)$ and $\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{-\sqrt{3}}{2}\right)$ is
If the area of the Ellipse is $\frac{x^{2}}{25}+\frac{y^{2}}{\lambda^{2}}=1$ is $20 \pi$ square units, then $\lambda$ is
A vector $\vec{a}$ makes equal acute angles on the coordinate axis. Then the projection of vector $\vec{ b }=5 \hat{ i }+7 \hat{ j }-\hat{ k }$ on $\vec{ a }$ is
The number of solutions of $\frac{d y}{d x}=\frac{y+1}{x-1}$ when $y(1)=2$ is
Solution of Differential Equation $xdy - ydx = 0$ represents
If $\vec{a} \cdot \vec{b}=0$ and $\vec{a}+\vec{b}$ makes an angle $60^{\circ}$ with $\vec{a} $ then
If the area of the parallelogram with $\vec{a}$ and $\vec{b}$ as two adjacent sides is $15$ s units then the area of the parallelogram having $3 \vec{a}+2 \vec{b}$ and $\vec{a}+3 \vec{b}$ as two adjacent sides in s units is
If a plane meets the coordinate axes at $A, B$ and $C$ in such a way that the centroid of triangle $ABC$ is at the point $(1,2,3)$ then the equation of the plane is

If f(x) = \(\left\{ \begin{aligned}     & \frac{1-\cos Kx}{x\sin x} ,\ \ \text{if x}\neq0 \\     &\ \ \ \ \ \  \ \frac{1}{2}\ \ \ \ \ \ \ \ \  ,\ \ \  \text{if x=0} \end{aligned} \right.\) is continuous at x = 0, then the value of K is

If A = {1, 2, 3, 4, 5, 6}, then the number of subsets of A which contain atleast two elements is
If the side of a cube is increased by 5%, then the surface area of a cube is increased by
If $|tan \,A + \cot \,A = 2$, then the value of $\tan^4 A + \cot^ 4 A = $
The number of terms in the expansion of (x + y + z)10 is
The value of
16C9 + 16C10- 16C6 - 16C7 is
If z = x +iy then the equation |z + 1| = |z - 1| represents
If P(n) : 2n < n!
Then the smallest positive integer for which P(n) is true if
If tan A + cot A = 2, then the value of tan4 A + cot4 A =
The value of sin2 51° + sin2 39° is
If n(A) = 2 and total number of possible relations from Set A to set B is 1024, then n(B) is
Events E1 and E2 form a partition of the sample space S. A is any event that P(E1) = P(E2) = \(\frac{1}{2}\), P(E2/A) = \(\frac{1}{2}\) and P(A/E2) = \(\frac{2}{3}\), then P(E1/A) is
The probability of solving a problem by three persons A, B and C independently is \(\frac{1}{2}\), \(\frac{1}{4}\) and \(\frac{1}{3}\) respectively. Then the probability of the problem is solved by any two of them is
A die is thrown 10 times, the probability that an odd number will come up atleast one time is
Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let z = px + qy, where p, q > 0. Condition on p and q so that the minimum of z occurs at (3, 0) and (1, 1) is
The feasible region of an LPP is shown in the figure. If Z = 11x + 7y then the maximum value of Z occurs at
feasible region of an LPP