List of top Mathematics Questions asked in KCET

A vector perpendicular to the plane containing the points $A (1, -1, 2), B (2, 0, -1), C (0,2,1)$ is

$Sin^2 \; 17.5^{\circ} + Sin^2 \; 72.5^{\circ}$ is equal to

The solution of $Tan^{-1}x+ 2cot^{-1}x=\frac {2\pi}{3}$ is

The value of $\int e^x(x^5+5x^4+1).dx $ is

The value of $\int \frac{x^2+1}{x^2-1}dx$ is

If $\frac {x^2}{36}-\frac{y^2} {k^2} = 1$ is a hyperbola, then which of the following statements can be true ?

If a and b are vectors such that $|a+b|=|a-b|$ then the angle between a and b is

The value of the integral $\int\limits_0^{\pi/2}$($Sin^{100} x-Cos^{100}x)dx$ is

If $3x + y + k = 0$ is a tangent to the circle $x^2+y^2=10$ the values of k are,

If $sin \, 3 \,\theta\, = \, Sin \, \theta$ , how many solutions exist such that $-2 \pi

If $\vec {a}= {2\hat{i}}+3\hat{j}-\hat k,\vec b = \hat i+2 \hat j-5 \hat k ,\vec{ c} =3 \hat i+ 5\hat j-\hat k,$ then a vector perpendicular to $\vec{a}$ and in the plane containing $\vec {b}$ and $\vec {c}$ is

OA and BO are two vectors of magnitudes 5 and 6 respectively. If $\angle B O A=60^{\circ}$, then $0 A \cdot O B$ is equal to

If $A = \begin{bmatrix} {1}&{-2} &{2}\\ {0}&{2}& {-3} \\ {3}&{-2}&{4}\\ \end{bmatrix} $,then $A . adj(A)$ is equal to

$x^2 + y^2 -6x-6y + 4 = 0, x^2 + y^2 - 2x - 4y + 3 - 0 , x^2 + y^2 + 2k x + 2y +1 = 0$. If the Radical centre of the above three circles exists, then which of the following cannot be the value of $k$ ?

On the set $Q$ of all rational numbers the operation $\star$ which is both associative and commutative is given by $a \star b$, is:

A circular sector of perimeter $60$ metre with maximum area is to be constructed. The radius of the circular arc in metre must be

A subset of the additive group of real numbers which is not a sub group is

If $A = \begin{bmatrix} {1}&{-3}\\ {2}&{K} \\ \end{bmatrix}$ and $A^2-14A+10I=A$,then $K$ = is equal to :

The value of $\frac{\sin 85^{\circ}-\sin 35^{\circ}}{\cos 65^{\circ}} $ is :

If $O(A) = 2 \times 3, O (B) = 3 \times 2$, and $O(C) = 3 \times 3$, which one of the following is not defined.

If $a, b$ and $c \in N$ which one of the following is not true ?

If $a | (b + c)$ and $a| (b-c)$ where $a,b,c \in \, N $ then

If the area of the parallelogram with \(\vec {a}\) and \(\vec {b}\) as two adjacent sides is \(15\, sq.\space units\),then the area of the parallelogram having \(3\vec {a}+2\vec {b}\) and \(\vec{a}+3\vec {b}\) as two adjacent sides in sq. unit is

The remainder obtained when $(\lfloor 1)^2 + (\lfloor 2)^2 + (\lfloor 3)^2 + ... + (\lfloor 100)^2$ is divided by $10^2$ is ;