List of top Mathematics Questions asked in AP EAPCET

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
If the normal to the rectangular hyperbola \[ x^2-y^2=1 \] at the point \(P\left(\frac{\pi}{4}\right)\) meets the curve again at \(Q(\theta)\), then \[ \sec^2\theta+\tan\theta= \]
The area of the circle passing through the points \((5,\pm 2)\), \((1,2)\) 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
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
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
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
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
For two events \(A\) and \(B\), a true statement among the following 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
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
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 \(\overrightarrow{OQ}-4\overrightarrow{OP}=\)
If \[ 4+6(e^{2x}+1)\tanh x = 11\cosh x+11\sinh x, \] then \[ x= \]
If \[ a=2,\quad b=3,\quad c=4 \] in a triangle \(ABC\), then \[ \cos C= \]
\(D,E,F\) are respectively the points on the sides \(BC,CA\) and \(AB\) of a \(\triangle ABC\), dividing them in the ratio \(2:3,\;1:2,\;3:1\) internally. The lines \(BE\) and \(CF\) intersect on the line \(AD\) at \(P\). If \[ \overrightarrow{AP}=x_1\overrightarrow{AB}+y_1\overrightarrow{AC}, \] then \[ x_1+y_1= \]
In a triangle \(ABC\), \[ \frac{a}{b}=2+\sqrt{3} \] and \[ \angle C=60^\circ. \] Then the measure of \(\angle A\) is