List of practice Questions

Fill in the blanks. (i) The length of the latus rectum of the hyperbola $\frac{x^{2}}{16}-\frac{y^{2}}{9}=1$ is . (ii) The equations of the hyperbola with vertices $\left(\pm 2, 0\right)$, foci $ \left(\pm3, 0\right)$ is . (iii) If the distance between the foci of a hyperbola is $16$ and its eccentricity is $2$, then equation of the hyperbola is .

Fill in the blanks. (i) The number of different words that can be formed from the letters of the word such that two vowels never come together is . (ii) Three balls are drawn from a bag containing $5$ red, $4$ white and $3$ black balls. The number of ways in which this can be done if atleast $2$ are red is . (iii) The total number of ways in which six $'+'$ and four $'-'$ signs can be arranged in a line such that no two signs $'-'$ occur together, is .

Figure shows $(x, t), (y, t)$ diagram of a particle moving in 2-dimensions.

If the particle has a mass of 500 g, the force acting on the particle is

Figure shows a man of mass $55\, kg$ standing stationary with respect to a horizontal conveyor belt that is accelerating with $1\,m$ $s^{-2}$. The net force acting on the man is

Fig shows the time-displacement curve of the particles P and Which of the following statement is correct?

Figure given below depict the procedure for gene therapy. Pick up the disorders for which this technique has been applied successfully.

Figure $P$ represents the reproductive organs of Chara plant and figure $Q$ represents the reproductive organs of earthworm. Select the option which correctly identifies male reproductive organs of the two organisms.

Few polymers are matched with their uses. Point out the wrong match.

$[FeF_{6}]^{3-}$ is paramagnetic due to presence of unpaired electrons in the complex. The five electrons remain unpaired because

Fermi energy is the maximum energy of an electron in the band at :

Ferromagnetic materials have their properties due to

$Fe(OH)_3$ sol can be more easily coagulated by $Na_3PO_4$ in comparison to $KCl$ because

Feathery stigma occurs in

$ {[Fe(CN)6]^{4-}, [V(CN)6]^{4-}, [Cr(NH3)6]^{2+}}$ and $ {[Ru(CN)6]^{3-}}$ Find the decreasing order of spin only magnetic moment

$ {[Fe(H2O)6]2 [Fe(CN)6]}$ Cationic and anionic species spin only magnetic moment in Bohr magneton is :

Father of white revolution in India was

Fathom is the unit to measure the

$Fe_2(CO)_9$ is diamagnetic. Which of the followingreasons is correct ?

$Fe^{3+}$ compounds are more stable than $Fe^{2+}$ compounds because

Father of human/biochemical genetics is

Father of Indian embryology is

Famous scientist, Maxwell unified

Fasciculated fleshy adventitious roots are found in

Fastest phase of $S$-shaped growth curve is

Fate of pyruvic acid during aerobic respiration is