Phenol, when it first react with concentrated sulphuric acid and then with concentrated nitric acid, gives
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The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is
The sum of the series20C0−20C1+20C2−20C3+…−…+20C10 is:
The ellipse x2+4y2=4is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is
The organic chloro compound, which shows complete stereochemical inversion during a SN2 reaction, is
The sum of the series 2!1−3!1+4!1−… upto infinity is
For real x, let f(x)=x3+5x+1, then
If u,v,w are noncoplanar vectors and p, q are real numbers, then the equality [3u,pv,pw]−[pv,w,qu]−[2w,qv,qu]=0 holds for(A) exactly one value of (p, q)(B) exactly two values of (p, q)(C) more than two but not all values of (p, q)(D) all values of (p, q)
A parabola has the origin as its focus and the line x=2as the directrix. Then the vertex of the parabola is at