List of top Questions asked in AP EAPCET

The focal distances of the point \(\left(\dfrac{4}{\sqrt{5}},\dfrac{3}{\sqrt{5}}\right)\) on the ellipse \(\dfrac{x^2}{4}+\dfrac{y^2}{9}=1\) are

Suppose a parabola passes through \((0,4)\), \((1,9)\) and \((4,5)\) and has its axis parallel to the \(y\)-axis. Then the equation of the parabola is

The ratio of the largest and shortest distances from the point \((2,-7)\) to the circle \[ x^2+y^2-14x-10y-151=0 \] is

A circle has its centre in the first quadrant and passes through \((2,3)\). If this circle makes intercepts of length \(3\) and \(4\) respectively on \(x=2\) and \(y=3\), its equation is

The image of the point \((3,4)\) with respect to the radical axis of the circles \[ x^2+y^2+8x+2y+10=0 \] and \[ x^2+y^2+7x+3y+10=0 \] is

If the points of intersection of the coordinate axes and \(|x+y|=2\) form a rhombus, then its area is

Suppose, in triangle \(\triangle ABC\), \(x-y+5=0\), \(x+2y=0\) are respectively the equations of the perpendicular bisectors of the sides \(AB\) and \(AC\). If \(A=(1,-2)\), the equation of the line joining \(B\) and \(C\) is

If the pair of straight lines \[ 9x^2+axy+4y^2+6x+by-3=0 \] represents two parallel lines, then

A line passing through \(P(2,3)\) and making an angle of \(30^\circ\) with the positive direction of \(x\)-axis meets \[ x^2-2xy-y^2=0 \] at \(A\) and \(B\). Then the value of \(PA\cdot PB\) is

For any real number \(t\), the point \(\left(\dfrac{8t}{1+t^2},\dfrac{4(1-t^2)}{1+t^2}\right)\) lies on a/an

The area of the circle passing through the points \((5,\pm 2)\), \((1,2)\) is

Which of the following is not a property of a Binomial distribution?

In a Binomial distribution \(B(n,p)\), if the mean and variance are \(15\) and \(10\) respectively, then the value of the parameter \(n\) is

A manager decides to distribute Rs. \(20000\) between two employees \(X\) and \(Y\). He knows \(X\) deserves more than \(Y\), but does not know how much more. So, he decides to arbitrarily break Rs. \(20000\) into two parts and gives \(X\) the bigger part. Then, the chance that \(X\) gets twice as much as \(Y\) or more is

Suppose \(P\) and \(Q\) are the midpoints of the sides \(AB\) and \(BC\) of a triangle where \(A(1,3)\), \(B(3,7)\) and \(C(7,15)\) are vertices. Then the locus of \(R\) satisfying \[ AC^2+QR^2=PR^2 \] is

Suppose \(\triangle ABC\) is an isosceles triangle with \(\angle C=90^\circ\), \(A=(2,3)\) and \(B=(4,5)\). Then the centroid of the triangle is

For two events \(A\) and \(B\), a true statement among the following is

Five digit numbers are formed by using digits \(1,2,3,4\) and \(5\) without repetition. Then, the probability that the randomly chosen number is divisible by \(4\) is

If the mean of the data \[ p,6,6,7,8,11,15,16 \] is \(3\) times \(p\), then the mean deviation of the data from its mean is

If the equation of the plane passing through the point \(A(-2,1,3)\) and perpendicular to the vector \(3\vec{i}+\vec{j}+5\vec{k}\) is \(ax+by+cz+d=0\), then \(\dfrac{a+b}{c+d}=\)

If \(\vec{a}+\vec{b}+\vec{c}=0\) and \(|\vec{a}|=7,\;|\vec{b}|=5,\;|\vec{c}|=3\), then the angle between \(\vec{b}\) and \(\vec{c}\) is

\(OABC\) is a tetrahedron. If \(D,E\) are the midpoints of \(OA\) and \(BC\) respectively, then \[ \overrightarrow{DE}= \]

If \(P,Q\) are two points on the curve \(y=2^{x+2}\) in the rectangular Cartesian coordinate system such that \(\overrightarrow{OP}\cdot \vec{i}=-1,\;\overrightarrow{OQ}\cdot \vec{i}=2\), then \(\overrightarrow{OQ}-4\overrightarrow{OP}=\)

In a box, there are \(8\) red, \(7\) blue and \(6\) green balls. One ball is picked randomly. The probability that it is neither red nor green is

In a triangle \(ABC\), \[ \frac{a}{b}=2+\sqrt{3} \] and \[ \angle C=60^\circ. \] Then the measure of \(\angle A\) is