List of top Mathematics Questions asked in AP EAPCET

Suppose \(A\) and \(B\) are the points at which the line \[ x+y-\lambda=0 \] meets the pair of straight lines \[ x^2+y^2-2x-4y+2=0. \] If \(\angle AOB=90^\circ\), then the value of \(\lambda\) is:

A random variable \(X\) follows the binomial distribution and \[ X\sim B(n,0.3). \] If the mean of \(X\) is three times as large as the standard deviation of \(X\), then \(n=\)

If a line \(AB\) of length \(r\) moves such that \(A\) and \(B\) always lie respectively on the \(x\)-axis and the line \[ y=6x, \] then the locus of the midpoint of \(AB\) is

All points inside the triangle with vertices at \((1,3)\), \((5,0)\) and \((-1,2)\) must necessarily satisfy:

The line on which the lines \[ ax+by=1 \] and \[ bx+ay=1 \] with \(a\neq 0\neq b\), intersect for any real values of \(a\) and \(b\), is:

For \(x\) and \(y\) satisfying \[ |x|+|y|=|x-3|+|y-2|, \] which of the following is correct?

In a Binomial distribution, if \(p=q\) and \(n\geq 4\), then \[ 2^nP(X=5)= \]

Two dice are thrown simultaneously. The probability of getting a multiple of \(2\) on one die and a multiple of \(3\) on the other die is:

Two persons \(A\) and \(B\) take part in a shooting competition. \(A\) can hit the target with probability \(0.6\), and \(B\) can hit the target with probability \(0.8\). \(A\) has the first shot, after which they strike alternately. Then, the probability that \(A\) wins the competition is:

A box has \(6\) black, \(4\) red, \(2\) white and \(3\) blue shirts. When \(2\) shirts are picked at random, the probability that either both are white or both are blue is:

If the points \[ \vec{P}=\vec{i}+2\vec{j},\quad \vec{Q}=4\vec{i}+6\vec{j},\quad \vec{R}=5\vec{i}+7\vec{j},\quad \vec{S}=a\vec{i}+b\vec{j} \] are the consecutive vertices of a parallelogram \(PQRS\), then

Three unbiased coins are tossed. Then, the probability of getting at most two heads is:

The mean deviation from the median for the following data is:

If \[ \vec{a}=4\vec{i}+6\vec{j},\quad \vec{b}=3\vec{j}+4\vec{k} \] and \(\vec{c}\) is the projection vector of \(\vec{a}\) on \(\vec{b}\), then \(\vec{c}\) and \(|\vec{c}|\) respectively are:

The distance between a point \(P\) whose position vector is \[ 5\vec{i}+\vec{j}+3\vec{k} \] and the line \[ \vec{r}=(3\vec{i}+7\vec{j}+\vec{k})+t(\vec{j}+\vec{k}) \] is:

In a triangle \(ABC\), if \(r_1=12\), \(r_2=18\) and \(r_3=36\), then \(b=\)

If \(\vec{a},\vec{b}\) be two non-collinear vectors and the vector \(\vec{a}+\vec{b}\) bisects the angle between \(\vec{a}\) and \(\vec{b}\), then

\(OABCD\) is a pentagon in which the sides \(OA\) and \(CB\) are parallel and the sides \(OD\) and \(AB\) are parallel. Also, it is given that \[ \frac{OA}{CB}=2,\qquad \frac{OD}{AB}=\frac{1}{3}. \] If \(\overrightarrow{OA}=\vec{a}\), \(\overrightarrow{OD}=\vec{d}\), then \[ \overrightarrow{AD}+\overrightarrow{OC}+\overrightarrow{DC}= \]

In a triangle \(ABC\), if \(\angle A=60^\circ\), then \((a+b+c)(b+c-a)=\)

If \(r_1,r_2\) and \(r_3\) of a triangle \(ABC\) are in Harmonic progression, then \(a,b,c\) will be in:

Evaluate \[ \tan x+\frac{\cos x}{1+\sin x}. \]

In a triangle \(ABC\), \[ \sin 2A+\sin 2B+\sin 2C= \]

In a triangle \(ABC\), if \(r_1>r_2>r_3\), then which of the following is true?

Let \(\tan 30^\circ\) and \(\tan 15^\circ\) be the roots of the quadratic equation \[ x^2+ax+b=0, \] then \(1+a-b=\)

If \(k\in \mathbb{R}\) is such that the equation \[ 2\cosh^2x=3\sinh x+k \] has no real solution, then which of the following is correct?