List of top Mathematics Questions asked in AP POLYCET

If one root of the quadratic equation \(a(b-c)x^2+b(c-a)x+c(a-b)=0\) is 1, then the other root is

If two towers of heights h₁ and h₂ subtend angles of 60º and 30º respectively at the mid-point of line segment joining their feet, then the ratio of their heights h₁ : h₂ is

If the points \((a,0),(0,b)\) and \((1,1)\) are collinear, then \(\frac{1}{a}+\frac{1}{b} =\)

If the sum and product of the roots of the quadratic equation \(kx^2+6x+4k=0\) are equal, then the value of k is

If the LCM of 12 and 42 is 10m + 4, then the value of m is

Which of the following is not a quadratic equation?

After how many decimal places, the decimal expansion of the rational number \(\frac{25}{2^2\times 5}\) will terminate?

The number of zeroes of the polynomial shown in the graph is

If the lengths of the diagonals of a rhombus are 24 cm and 10 cm, then each side of the rhombus is

If the difference between mode and mean of a data is k times the difference between median and mean, then the value of k is

The sum of the exponents of the prime factors in the prime factorization of 156 is

Which term of the geometric progression \(2,2\sqrt{2},4,…..\)is \(128?\)

If the geometric progressions 162, 54, 18, ..... and \(\frac{2}{81},\frac{2}{27},\frac{2}{9}\),…have their nth term equal, then the value of n is

The points A(-5,0), B(5,0) and C(0,4) are the vertices of which triangle?

The X-axis divides the line joining the points A(2,-3) and B(5,6) in the ratio of

If four vertices of a parallelogram are (-3,-1),(a,b),(3,3) and (4,3) taken in order,then the ratio of a and b is

If the centroid of the triangle formed by the points \((3,-5),(-7,4)\) and \((10,-k )\) is at the point \((k, –1)\), then the value of k is

If AM and PN are the altitudes of two similar triangles \(∆ABC\) and \(∆PQR\) respectively and \((AB)^ 2 : (PQ) ^2 = 4 : 9\), then \(AM : PN =\)

In the given \(∆ABC\), if \(DE || BC, AE = a\) units, \(EC = b\) units, \(DE = x \) units and \(BC = y\) units, then which of the following is true?

In the given figure, PA is the tangent drawn from an external point P to the circle with center O. If the radius of the circle is 3 cm and PA = 4 cm, then the length of PB is

In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle whose radius is 5 cm. Then the radius of the larger circle is

The area of the circle that can be inscribed in a square of side 10 cm is

If the height of a conical tent is 3 m and the radius of its base is 4 m, then the slant height of the tent is

If the radius of the base of a right-circular cylinder is halved, keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

If \(tan\ \theta=\sqrt{3}\), then the value of \(sec\ θ\) is