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Which of the following compounds will behave as a reducing sugar in an aqueous KOH solution?

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The intercepts on x-axis made by tangents to the curve, $y=∫_{0}∣t∣dt,x∈R,$which are parallel to the line $y=2x$, are equal to

Consider :Statement I : $(p^q)pq^ ^ $is a fallacy.Statement II : $(pq )↔(q p)$is a tautology.

If A is an $3×3$non-singular matrix such that A$A_{_{′}}$=$A_{_{′}}A$and $B=A_{−1}A_{_{′}}$, then $BB_{_{′}}$equals

From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is :

The integral $∫_{0}1+4sin_{2}(2x )−4sin(2x )dx $equal

In the circuit shown, the current in the $1Ω$ resistor is :

The integral $∫(1+x−x1 )e_{x+x1}dx$ is equal to

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of $A×B$having 3 or more elements is