List of top B.Ed. Mathematics Questions

If one of the roots of equation \(ax^4+bx^3+cx^2+dx+e=0\) is \(\sqrt{2}+\sqrt{-3}\), then arrange the following in non-decreasing order \((a\neq 0)\). A. \(a\),
B. \(b\),
C. \(c\),
D. \(d\),
E. \(e\).

Given below are two statements:

Assertion (A):
The function \(f(x)=x|x|\) is continuous at \(x=0\) and derivative of \(f\) also exists at \(x=0\).
Reason (R):
It is necessary and sufficient that every continuous function is derivable at any point.

On adding any three consecutive even numbers, the summation result would always be divisible by which of the following?

Which of the following is equation of hyperbola with vertices \((\pm 2,0)\) and foci \((\pm 3,0)\)?

The normal at the point \((1,1)\) on the curve \(2y+x^2=3\) is?

Given below are two statements:

Assertion (A):
The angle between the pair of lines \[ \frac{x+3}{3}=\frac{y-1}{5}=\frac{z+3}{4} \quad \text{and} \quad \frac{x+1}{1}=\frac{y-4}{1}=\frac{z-5}{2} \] is \(\cos^{-1}\left(\frac{8\sqrt{3}}{15}\right)\).
Reason (R):
The angle between the two lines is \[ \cos\theta=\frac{a_1a_2+b_1b_2+c_1c_2}{\sqrt{a_1^2+b_1^2+c_1^2}\sqrt{a_2^2+b_2^2+c_2^2}}. \]

If each side of a rectangle is increased by \(10\%\), then which of the following will represent the increased area of a rectangle?

If \(a,b,c\) are in arithmetic progression, then find the value of \[ \left| \begin{array}{ccc} x+2 & x+3 & x+2a\\ x+3 & x+4 & x+2b\\ x+4 & x+5 & x+2c\\ \end{array} \right|. \]

Evaluate the determinant:
\[ \left| \begin{array}{ccc} b+c & a-b & a\\ c+a & b-c & b\\ a+b & c-a & c\\ \end{array} \right| \]

If \[ x=e^{\tan^{-1}\left(\frac{y-x^2}{x}\right)} \] then \(\dfrac{dy}{dx}=?\)

If \(y=e^{m\sin^{-1}x}\) and \(y_n\) indicates \(n^{th}\) derivative of \(y\) with respect to \(x\), then which of the following relation is true?

Which of the following represents the slope of the line passing through points (3, −2) and (3, 4)?

Which of the following is derivative of \(\sqrt{a^{\sqrt{x}}}\) with respect to \(x\)?