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two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...
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1. If ABCD is cyclic quadrilateral, show that AC . BD = AB . CD + BC . AD 2. In a ΔABC, show that a3 cos (B – C) + b3 cos (C – A) + c3 cos (A – B) = 3 abc ...
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find the largest interval in which x lies satisfying x^{12}-x^{9}+x^{4}-x+1>0 ...
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1. A man observes, that when he moves up a distance c meters on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is 30º; and when he moves up further a distance c meters the angl ...
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1. Find the total number of terms in the expansion of (x + y + z + w)n , n ∈ N. 2. Find numerically greatest term in the expansion of (2 + 3x)9, when x = 3/2 ...
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1. Sum of the series : 1 + 3x + 5x2 + 7x3 + ......... 2. Sum the series : 1.2.3 + 2.3.4 + 3.4.5. + ......... + to n terms. 3. Sum the series : 12 + (12 + 22) + (12 + 22 + 32) + ........ to n terms. ...
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If one root of ax^2+bx-2c=0 (a,b,c are real) is imaginary and 8a+2b>c , then a) a>0 and c<0 b)a>0 and c>0 c)a<0,c>0 d)a<0,c<0 ...
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A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12m/s2. The displacement of the block during the first 0.2 s after the start assuming g = 10 m/s2 is (a) 4 cm (b) 20 ...
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A cubical block of mass m and edge a slides down a rough inclined plane of inclination with a uniform speed. The torque of the normal force acting on the block about its centre is ? ...
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1. If α,β are the roots of x2+px+q=0 then express α5+β5 in terms of p and q. 2. \left|\left|x-1 \right|-x \right| \leq 4 ...
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1. If α,β are the roots of x2+px+q=0 then express α5+β5 in terms of p and q. 2. \left|\left|x-1 \right|-x \right| \leq 4 ...
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Let z and w be two complex numbers such that \bar{z} +i\bar{w} =0 and arg zw=∩ , then arg z is equal to ? ...
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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...
