Which complex is likely to show optical activity?

  • A
    $Trans-[Co(NH_3)_4Cl_2]^+$
  • B
    $[Cr(H_2O)_6]^{3+}$
  • C
    $Cis-[Co(NH_3)_2(en)_2]^{3+}$
  • D
    $Trans-[Co(NH_3)_2(en)_2]^{3+}$

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There is some change in length when a $33000 ~N$ tensile force is applied on a steel rod of area of cross-section $10^{-3} ~m^2$. The change of temperature required to produce the same elongation,if the steel rod is heated,is (The modulus of elasticity is $3 \times 10^{11} ~N/m^2$ and the coefficient of linear expansion of steel is $1.1 \times 10^{-5} /{ }^{\circ} C$). (in $^{\circ} C$)

If $(x, y, z)$ is an arbitrary point lying on a plane $P$ which passes through the points $(42, 0, 0)$,$(0, 42, 0)$,and $(0, 0, 42)$,then the value of the expression $3 + \frac{x-11}{(y-19)^2(z-12)^2} + \frac{y-19}{(x-11)^2(z-12)^2} + \frac{z-12}{(x-11)^2(y-19)^2} - \frac{x+y+z}{14(x-11)(y-19)(z-12)}$ is:

Choose the incorrect statements with respect to chordates
$(A)$ Presence of mid ventral, solid and double nerve cord.
$(B)$ Presence of open circulatory system.
$(C)$ Presence of ventral heart.
$(D)$ Presence of paired pharyngeal gills slits.
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$\int_0^3 \frac{3x+1}{x^2+9} dx$ is equal to :

If a straight line perpendicular to $2x - 3y + 7 = 0$ forms a triangle with the coordinate axes whose area is $3 \text{ sq. units}$,then the equation of the straight line is:

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