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Which of the following compounds is metallic and ferromagnetic ?

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The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is

A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below : ltBrgt If there is a uniform magnetic field of 0.3 T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium ?

If $y=sec(tan_{−1}x)$, then $dxdy $at $x=1$is equal to

The number of values of k, for which the system of equations$(k+1)x+8y=4k$$kx+(k+3)y=3k−1$has no solution, is

The angle between the lines whose direction cosines satisfy the equations $l+m+n=0$and $l_{2}=m_{2}+n_{2}$is

Assertion : Nitrogen and Oxygen are the main components in the atmosphere but these do not react to form oxides of nitrogen. Reason : The reaction between nitrogen and oxygen requires high temperature.

Distance of the centre of mass of a solid uniform cone from its vertex is $Z_{0}$. If the radius of its base is R and its height is h then $Z_{0}$ is equal to :

$(lim)_{x0}((1−cos2x)xtan4x3+cosx $ is equal to: