ABCD is a rhombus whose side AB = 4 cm and $\angle ABC$ = $120^{0}$, then the length of diagonal BD is equal to:1). 1 cm2). 2 cm3). 3 cm4). 4 cm
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1. A number is greater than twice its reciprocal by 31/4. Find the number.
2. A ship alter sailing 12 km towards south from a particular place covered 5 km more towards east. Then the straightway distance of the ship from that place is
3. If \(\frac{{\frac{1}{7} - \frac{1}{6} - \frac{1}{{42}}}}{{\frac{1}{7} - \left( {\frac{1}{6} - \frac{1}{{42}}} \right)}} \div \frac{{\frac{1}{7} \times \frac{1}{6} - \frac{1}{{42}}}}{{\frac{1}{7} \times \left( {\frac{1}{6} - \frac{1}{{42}}} \right)}} = x\), the value of x is
4. BE and CF are two medians of $\triangle ABC$ and G the centroid. FE cuts AG at O. If OG = 2 cm, then the length of AO is
5. If 4(x + 5) - 3 > 6 - 4x ≥ x - 5; Then the value of x is
6. N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is
7. In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is
8. If 2x - 3 ≤ 5 + x and 5 - x < 1 + 5x; then x can take which of the following values?
9. If \({x^2} + \frac{1}{{{x^2}}} = 6\), then find the value of \(\frac{{2x\left( {x - 1} \right)}}{{{x^3} - {x^2} - x + 1}}\)
10. Which of the following is correct?
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