List of top Mathematics Questions asked in KCET

The coaxal system of circles given by $x^{2} + y^{2} + 2gx + c = 0$ for $c < 0$ represents.
The equation of the director circle of the hyperbola $\frac {x^{2}} {16}-\frac{y^{2}} {4}=1$ is given by .............
The value of $k$ so that $x^{2} + y^{2} + kx + 4y + 2 = 0 $ and $2(x^{2}+y^{2})- 4x - 3y + k = 0$ cut orthogonally is
If $Sin^{-1} \frac {x}{5}+Cosec^{-1} \frac {5}{4}=\frac {\pi}{2}$ then $x=$
The set of all integral multiples of $5$ is a subgroup of
Which of the following is not a proposition.
The distance of the point $'\theta'$ on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ from a focus is
The distance of a focus of the ellipse $9x^2+16y^2 =144$ from an end of the minor axis is
$\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{1}{7}+\tan^{-1}\frac{1}{18}+.........+\tan^{-1}\left(\frac{1}{n^2+n+1}\right)+....to\infty$ is equal to
If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively
If one end of a diameter of the ellipse $ 4x^2 + y^2 = 16$ is $(\sqrt{3},2)$, then the other end is
The line $ y = 2x + c$ touches the ellipse $\frac{x^2}{16}+\frac{y^2}{4}=1$ if c is equal to
If the normal at one end of a latus-rectum of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ passes through one extremity of the minor axis, then the eccentricity of the ellipse is given by the equation
The locus of the centre of the circle \(x^2 + y^2 + 4x \,\cos \,\theta - 2y\, sin \theta - 10 = 0\) is
The sum of distances of any point on the ellipse $3x^2+4y^2=24$ from its foci is
The eccentricity of the conic $3x^2 + 4y^2 = 24$ is
If y=2x3x,then \(\frac{dy}{dx}\) at x=1 is
Two finite sets have m and n elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are
If $[x]^2 - 5[x] + 6 = 0, $where [x] denotes the greatest integer function, then
If ΔABC is right angled at C, then the value of tan A + tan B is
If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is
The maximum volume of the right circular cone with slant height 6 units is
Let $(gof)(x) = sin x$ and $(fog)(x) = (sin \sqrt x)^2,$ Then
The value of $ ^{49}C_3 ^{48}C_3 ^{47}C_3 ^{46}C_3 ^{45}C_3 ^{45}C_4 $ is
If \(A=\begin{vmatrix}x&1\\1&x\end{vmatrix}\) and \(B=\begin{vmatrix}x &1&1\\1& x&1 \\1&1&x \end{vmatrix}\),then \(\frac{dB}{dx}\) is