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 is1). 2 cm2). 4 cm3). 6 cm4). 8 cm
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1. ABCD is a cyclic trapezium with $AB\parallel DC$ and AB = diameter of the circle. If $\angle CAB$ = $30^{0}$ , then $\angle ADC$ is
2. A square is inscribed in a quarter- circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the centre, while the other two vertices lie on the circular arc. If the square has sides of length x, then the radius of the circle is
3. Direction: In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. I. 25x2 + 60x + 32 = 0 II. 25y2 + 30y + 8 = 0
4. the length of two chorda AB and AC of a circle are 8 cm and 6 cm and $\angle BAC$ =$90^{0}$, then the radius of circle is
5. If 3x - 10 = -(2x + 5), then the numerical value of $(x-4) ^{3}$ is
6. What approximate value should come in place of the question mark (?) in the following questions ? (Note : You are not expected to calculate the exact value.)
7. Direction: In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. I. x2 + 2x – 8 = 0 II. y2 – 2y – 8 = 0
8. $If\ (2x+\frac{2}{9x})=4,\ then\ the\ value\ of\ 27x^{3}+ \frac{1}{27x^{3}}\ is $
9. If x= $8+2\sqrt{15}$ then what is the value of $\sqrt{x} +\frac{1}{\sqrt{x}}$ ?
10. The roots of the equation ax2 + x + b = 0 are equal if
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