If \(x = 2 + \sqrt{3}\), then \( \frac{1}{x} =\):
If \(x = 2 + \sqrt{3}\), then \( \frac{1}{x} =\):
\(-\sqrt{3}\) | |
\(2 - \sqrt{3}\) | |
\(3 + 2\) | |
\(-2 + \sqrt{3}\) |
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The relation \(x = \log_a y\) implies ----:
The relation \(x = \log_a y\) implies ----:
\(a^x = y\) | |
\(y^x = a\) | |
\(y^a = x\) | |
\(y = a^x\) |
The conjugate of \(-5 - i\) is:
The conjugate of \(-5 - i\) is:
\(5 + i\) | |
\(-5 + i\) | |
\(-5 - i\) | |
\(5 - i\) |
A triangle having two sides congruent is called:
A triangle having two sides congruent is called:
Isosceles | |
Scalene | |
Right angled | |
Equilateral |
Triangles on equal bases and of equal altitudes are ---- in area:
Triangles on equal bases and of equal altitudes are ---- in area:
Equal | |
Similar | |
Unequal | |
Different |
Congruent triangles are:
Congruent triangles are:
Same size and shape | |
Concurrent | |
Parallel | |
Different |
The bisector of the angles of a triangle are:
The bisector of the angles of a triangle are:
Concurrent | |
Perpendicular | |
Parallel | |
Congruent |
If two opposite sides of a quadrilateral are congruent and parallel, it is a:
If two opposite sides of a quadrilateral are congruent and parallel, it is a:
Square | |
Rhombus | |
Parallelogram | |
Trapezium |
Symbol used for congruency of two triangles is:
Symbol used for congruency of two triangles is:
\(\sim\) | |
\( \equiv \) | |
\(\Delta\) | |
\(=\) |
Distance between points (0, 0) and (1, 1) is:
Distance between points (0, 0) and (1, 1) is:
0 | |
2 | |
\(\sqrt{2}\) | |
1 |
Point (2, -3) lies in the quadrant:
Point (2, -3) lies in the quadrant:
I | |
IV | |
III | |
II |
If \(x\) is no larger than 10, then:
If \(x\) is no larger than 10, then:
\(x \leq 10\) | |
\(x > 10\) | |
\(x < 10\) | |
\(x \geq 8\) |
Simplify \( \frac{a}{9a^2 - b^2} + \frac{1}{3a - b}\):
Simplify \( \frac{a}{9a^2 - b^2} + \frac{1}{3a - b}\):
\( \frac{4a}{9a^2 - b^2} \) | |
\( \frac{4a - b}{9a^2 - b^2} \) | |
\( \frac{a}{9a^2 - b^2} \) | |
\( \frac{b}{9a^2 - b^2} \) |
Find 'm' so that \(x^2 + 4x + m\) is a complete square:
Find 'm' so that \(x^2 + 4x + m\) is a complete square:
-8 | |
8 | |
4 | |
-4 |
Conjugate of \(x + \sqrt{y}\) is:
Conjugate of \(x + \sqrt{y}\) is:
\( -x + \sqrt{y}\) | |
\( -x - \sqrt{y}\) | |
\(x - \sqrt{y}\) | |
\( \sqrt{x - y}\) |
\( \log_a m^n =\):
\( \log_a m^n =\):
\(m \log_a n\) | |
\( \log_a n \) | |
\( \log_a m \) | |
\(n \log_a m\) |
\(i^9 =\):
\(i^9 =\):
-1 | |
i | |
1 | |
-i |
Identity matrix of order 2-by-2 is:
Identity matrix of order 2-by-2 is:
\(\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\) | |
\(\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\) | |
\(\begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}\) | |
\(\begin{bmatrix} 0 & 1 \\ 1 & 1 \end{bmatrix}\) |
Heat capacity of 5 kg of water will be:
Heat capacity of 5 kg of water will be:
24000 JK-1 | |
25000 JK-1 | |
22000 JK-1 | |
23000 JK-1 |
In Einstein's mass-energy equation 'C' is the:
In Einstein's mass-energy equation 'C' is the:
Speed of sound | |
Speed of light | |
Speed of earth | |
Speed of electron |