If the sides of a triangle are in the ratio 3:$1\frac{1}{4}$:$3\frac{1}{4}$, then the triangle is1). Right triangle2). Obtuse triangle3). Equiangular triangle4). Acute triangle
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1. If \(2x - \frac{1}{{2x}} = 6\), then the value of \({x^2} + \frac{1}{{16{x^2}}}\) is
2. The radius of two concentric circles are 9 cm and 15 cm. If the chord of the greater circle be a tangent to the smaller circle, then the length of that chord is24 cm
3. If \({\rm{x}} + \frac{1}{{\rm{x}}} = - 2,\) then find the value of \({{\rm{x}}^{531}} + \frac{1}{{{{\rm{x}}^{532}}}}\)
4. If in a triangle ABC as drawn in the figure,AB=AC and $\angle ACD$ = $120^{0}$, then $\angle A$ is equal to
5. If 2$cos^{2}A$ - 1 = x, then the value of x is
6. Shyam bought 5 kg of fruits (guava and kiwi) for Rs 180.The cost per kg of guava was Rs 60 and that of kiwi was Rs 20 per kg.Find the quantity of guava and kiwi (respectively) purchased
7. If (9 - 3x) - (17x - 10) = - 1, then the value of x is
8. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. 3x2 – 14x + 11 = 0 II. 4y2 + 25y – 21 = 0
9. If a - b = - 7 and a2 + b2 = 85, then find ab.
10. A politician distributed 285 kg of sugar among the people of a village counting 1487. Find out how much sugar does each person get.
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