The compound 1,2 butadiene has
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If the rate of change in the circumference of a circle of 0.3 cm /s, then the rate of change in the area of the circle when the radius is 5 cm,is
A mass \(m \) is moving with a constant velocity along a line parallel to the \(x- axis\) , away from the origin. Its angular momentum with respect to the origin
The reaction of toluene with chlorine in the presence of ferric chloride ( \(FeCl_3\) ) gives predominantly
The function \(f(x)=log\frac {1+x} {1-x}\) satisfies the equation :
The value of the sum = \(\displaystyle \sum^{13}_{n=1}(i^n+i^{n+1}),\) where \(i=\sqrt-1\) equals :
If \(\frac {e^x} {1-x}=B_0+B_1x+B_2{x^2}+.....+B_n {x^n}+....\) then the value of \(B_n -B_{n-1}\) is
For the reversible reaction,
N2(g)+3H2(g)⇌2NH3(g) at 500 \(^0\) C, the value of \(K_p\) is 1.44×10 when partial pressure is measured in the atmosphere. The corresponding value of \(K_c\) with concentration in mol/L is
N2(g)+3H2(g)⇌2NH3(g) at 500 \(^0\) C, the value of \(K_p\) is 1.44×10 when partial pressure is measured in the atmosphere. The corresponding value of \(K_c\) with concentration in mol/L is
The amplitude of \(\frac{ 1+i\sqrt3} { \sqrt3+1}\) is :
If \(2x-4y=9\) and \(6x-12y +7=0\) are common tangents to a circle,then radius of the circle is :
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