List of top Questions asked in TS EAMCET- 2026

Let \(OA\), \(OB\), \(OC\) lying along the \(X\)-, \(Y\)- and \(Z\)-axes respectively represent the coterminous edges of a rectangular parallelepiped. If \(OA=1\), \(OB=2\), \(OC=3\), then the angle between a pair of diagonals of the parallelepiped drawn through the vertices \(O\) and \(A\) is

The area of the quadrilateral formed by the common tangents drawn to the circle \[ x^2+y^2=16 \] and the ellipse \[ 7x^2+25y^2=175 \] is:

The distance of the point \((1,2)\) from the directrix of the parabola \[ y^2-4x-4y+8=0 \] is:

If the equation \[ x+2y=3 \] represents the chord \(AB\) of the circle \[ x^2+y^2-4y=0, \] then the equation of the circle with \(AB\) as diameter is:

If the circles \[ x^2+y^2+2gx+6y+4=0 \] and \[ x^2+y^2-gx-2y-14=0 \] cut each other orthogonally for a positive integral value of \(g\), then the radical axis of the two circles is:

The \(x\)-intercept of one of the common tangents to the circle \[ 3x^2+3y^2=169 \] and the parabola \[ y^2=26x \] is:

The distance between the internal and external centres of similitude with respect to the circles \[ x^2+y^2+4x+6y+12=0 \] and \[ x^2+y^2-6x-4y+9=0 \] is:

If \(d\) is the distance of a point \(P(-1,2)\) to the line \(x+2y-4=0\) measured along a straight line which is parallel to the straight line \(x-\sqrt{3}y+5=0\), then \(d=\)

A ray of light \(x+y=1\) gets reflected upon the X-axis. If the reflected ray forms a triangle with X-axis and the vertical line \(x=2\), then the area of that triangle is

The centroid of the triangle formed by the lines \(6x^2+xy-2y^2=0\) and \(x+2y+3=0\) is

Let \(P=(0,2)\). Let \(A(x_1,y_1)\) and \(B(x_2,y_2)\) be two points on the circle \(x^2+y^2-6x+4y+4=0\) such that \(PA\) is minimum and \(PB\) is maximum. Then \(\frac{3(y_1-y_2){(x_2-x_1)}=\)}

Let \(A(1,1)\) and \(B(-1,-1)\) be the points of contact of tangents drawn from a point \(P\) to the circle \(x^2+y^2-2x+2y-2=0\). If \(C\) is the centre of the circle, then the centre of the circle passing through \(A,B,C,P\) is

A circle \(S\equiv x^2+y^2+4x+2fy+c=0\) passes through the centre of the circle \(x^2+y^2-4x+6y-2=0\). If the line \(3x-3y=c\) passes through the centre of the circle \(S=0\), then the length of tangent from \((1,1)\) to the circle \(S=0\) is

If the mean and variance of a binomial distribution are \(\frac{10}{3}\) and \(\frac{10}{9}\) respectively, then the probability of having at least one success is

If \((h,k)\) is the point to which the origin has to be shifted by translation of axes to remove the terms containing \(x\) and \(y\) from the equation \[ 2x^2+3xy+y^2+4x-8y+5=0 \] then \(2h+k=\)

A straight line passes through a point \(A(2,5)\) and makes an angle of \(45^\circ\) with the positive X-axis when measured in positive direction. If this line intersects the line passing through the points \((1,-2)\) and \((3,-4)\) at \(B\), then \(AB=\)

Let \(ABC\) be an isosceles triangle. If \(A=(2,3)\), \(B=(3,2)\) and \(BC\) is its base, then the locus of point \(C\) is

If \[ \vec a=2\hat i+3\mu\hat j-\hat k, \qquad \vec b=\mu\hat i-2\hat j+3\hat k, \qquad \vec c=\hat i+3\hat j-2\mu\hat k \] are three vectors such that \[ \alpha\vec a+\beta\vec b+\gamma\vec c=\vec 0 \] only when \[ \alpha=\beta=\gamma=0, \] then the set of all real values of \(\mu\) is

Mean deviation from the mean for the ungrouped data \[ 8,\,7,\,15,\,12,\,12,\,60,\,15,\,6,\,65,\,4,\,6,\,18 \] is

If two cards are drawn at a time from a well shuffled pack of 52 cards, then the probability of getting a result containing only one king and only one spade is

Bag A contains 3 red and 5 black balls, bag B contains 5 red and 3 black balls and bag C contains 4 red and 4 black balls. A bag is chosen randomly and a ball is drawn randomly from the chosen bag. If the ball drawn is found to be black, then the probability that it is drawn from bag B is

If \(A\) and \(B\) are any two events of a random experiment, then evaluate \[ P\Big[(A\cap B^c)\cup(A^c\cap B)\cup(A\cap B)\Big] \]

If \[ |\vec a|=3,\qquad |\vec b|=4 \] and the angle between \(\vec a\) and \(\vec b\) is \[ \frac{\pi}{6}, \] then \[ \left|(4\vec a+\vec b)\times(\vec a-3\vec b)\right| = \]

If \(A,B,C\) are the vertices of a triangle \(ABC\), \[ AB=2,\qquad BC=3,\qquad CA=4, \] then \[ \overrightarrow{AB}\cdot\overrightarrow{BC} + \overrightarrow{BC}\cdot\overrightarrow{CA} + \overrightarrow{CA}\cdot\overrightarrow{AB} = \]