If AB = 5 cm, AC = 12 cm and $AB\bot AC$, then the radius of the circumcircle of $\triangle ABC$ is1). 6.5 cm2). 6 cm3). 5 cm4). 7 cm
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1. On Children Day 2400 sweets were to be equally distributed among a certain number of children. But on that particular day, 100 children remained absent. Thus, each child got 2 sweets extra. How many children were originally supposed to be there?
2. If x = (√2 + 1)/(√2 - 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?
3. In a $\triangle ABC$, $\frac{AB}{AC}$=$\frac{BD}{DC}$, $\angle B$ = $70^{0}$ and $\angle C$ = $50^{0}$ ,then $\angle BAD$ =
4. In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle PQR$ = $30^{0}$, then $\angle RPQ$=
5. AD is perpendicular to the internal bisector of $\angle ABC$ of $\triangle ABC$. DE is drawn through D and Parallel to BC to meet AC at E. If the length of AC is 12 cm, then the length of AE (in cm.) is
6. AB to the chord of a circle with centre O and DOC is a line segment originating from a point D on the circle and intersecting AB produced at C such that BC = OD. If $\angle BCD$ = $20^{0}$, then $\angle AOD$ =
7. If two angles of a triangle are $21^{0}$ and $38^{0}$, then the triangle is
8. If a + b + c = 8, a2 + b2 + c2 = 30, and a3 + b3 + c3 = 134, then the value of (abc)-1 is:
9. D is a point on the side BC of a triangle ABC such that AD BC. E is a point on AD for which AE : ED = 5 : 1. If $\angle BAD$ = $30^{0}$ and $tan (\angle ACB)$ = $6tan(\angle DBE)$ then $\angle ACB$ =
10. In $\triangle ABC$, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If $\angle BOD$ = $30^{0}$ then measure of $\angle AOE$ is
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