Let ABC be an equilateral triangle and AX,BY, CZ be the altitudes. Then the right statement out of the four given responses is1). $AX=BY=CZ$2). $AX\neq BY=CZ$3). $AX=BY\neq CZ$4). $AX\neq BY\neq CZ$
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1). $AX=BY=CZ$
1. The last digit of (1001)2006 + 1005 is
2. Internal bisectors of $\angle Q$ and $\angle R$ of $\triangle PQR$ intersect at O. If $\angle ROQ$ = $96^{0}$ then the vlaue of $\angle RPQ$ is
3. Two equations I and II are given below in each question. You have to solve these equations and give ​answer (i) 3x2 + 16x + 20 = 0 (ii) y2 - 5y - 6 = 0
4. Find the degree of the polynomial 8x4 + 2x2y3 + 4?
5. If $x+\sqrt{5}=5+\sqrt{y}$ and x,y are positive integers, then the value of $\frac{\sqrt{x}+y}{x+\sqrt{y}}$ is
6. If \(a\; + \;\frac{1}{a} = 8\), then the value of a4 + 1/a4 will be:
7. If a4 + 1/a4 = 322, Find the value of a – 1/a = ?
8. The medians CD and BE of a triangle ABC interest each other at O. The ratio $\triangle ODE$ : $\triangle ABC$ is equal to
9. If the sum and product of the roots of a quadratic equation are 6 and 3 respectively, then the equation is
10. In the following question two equations are given in variables x and y. You have to solve these equations and determine relation between x and y. I. 8x2 - 15x + 7 = 0 II. 2y2 - 7y + 6 = 0
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