List of top Mathematics Questions

The area of the figure bounded by the curve \( y = \log_e x \), the x-axis and the straight line \( x = e \) is
Which of the following statements is false?
If A is a \( 3 \times 3 \) matrix, \( |A| \neq 0 \) and \( |3A| = k |A| \), then the values of k is:
The pair of equations \( x + 3y = 6 \) and \( 2x - 3y = 12 \) :
The coefficient of variation of the two frequency distributions is 60% and 40% respectively. Both series have the same mean = 15. What is their standard deviation?
If \( 4\cot^2 x - 16\cot x + 15 < 0 \) and x is real then cot x lies in the interval:
The solution of the equation \( |z| = z + 1 + 2i \) is:
The integrating factor of the differential equation \( x^2 \left(\frac{dy}{dx}\right) - xy = 1 \) is:
If \( \vec{A}, \vec{B} \) are unit vectors. If \( \vec{C} = \vec{A} + 2\vec{B} \) and \( \vec{D} = 5\vec{A} - 4\vec{B} \) are perpendicular, then angle between \( \vec{A} \) and \( \vec{B} \) is:
If a= (1, 1, 1), b= (x, y, z), c= (0, 1, -1) are three vectors such that \( a \cdot b = 3, a \times b = c \), then b is
If a, b, c are nonzero vectors such that a=8b, and c= -7b, then the angle between a and c is:
If y intercept of a plane \( (x - y + z - 1) + q(x + y - z - 1) = 0 \) is 3 then q 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?
if DE || BC, AE = a units, EC = b units, DE = x units
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
A is the tangent drawn from an external point P
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
two concentric circles
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