List of practice Questions

Let $0(0, 0), P(3, 4)$ and $Q(6, 0)$ be the vertices of a $\Delta$ OP The point R inside the $\Delta OPQ$ is such th at the triangles $OPR, PQR$ and $OQR $ are of equal area. The coordinates of R are

A man walks a distance of 3 units from the origin towards the North-East (N 45$^{\circ}$ E) direction. From there, he walks a distance of 4 units towards the North-West (N 45$^\circ$ W) direction to reach a point P. Then, the position of P in the Arg and plane is

Let $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ be unit vectors such that $\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=\overrightarrow{0}.$ Which one of the following is correct?

The number of distinct real values of $\lambda$, for which the vectors $-\lambda^2\widehat{i}+\widehat{j}+\widehat{k}, \widehat{i}-\lambda^2\widehat{j}+\widehat{k}$ and $\widehat{i}+\widehat{j}-\lambda^2\widehat{k}$ are coplanar, is

Let $E^c$ denotes the complement of an event $E$. If $E, F, G$ are pairwise independent events with $P (G) > 0$ and $P(E \cap F \cap G)=0$ then , $P(E^c \cap F^c|G) equals$

Let $ABCD$ be a quadrilateral with area 18, with side AB parallel to the side $CD$ and $AB = 2 CD$. Let $AD$ be perpendicular to $AB$ and $CD$. If a circle is drawn inside the quadrilateral $ABCD$ touching all the sides, then its radius is

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN, is

Lamellar collenchyma is seen in the stem of

In the depletion region of an unbiased $p-n$ junction diode, there are

Exoskeleton of the following consists of a chitinous cuticle

Electrons with de-Broglie wavelength $ \lambda $ fall on the target in an $X-ray$ tube. The cut-off wavelength of the emitted $X-rays$ is

The edible part in hesperidium fruit is

Commercial banana (Musa paradisica) is a

A good example of organic fertilizer which improves phosphorus uptake is

The theory of random genetic drift was proposed by

Tricarpellary syncarpous superior ovary is seen in

Vestigial organs present in an adult individual are example of basis of evidence of evolution

If you suspect deficiency of antibodies in a person, to which of the following would you look for confirmatory evidence ?

The net filtration pressure in the glomerulus of the kidney is

The one way of unidirectional transmission of nerve cells is maintained by

An inductive coil has a resistance of $100 \, \Omega $ When an AC signal of frequency $1000\, Hz$ is applied to the coil, the voltage leads the current by $ 45^{\circ} $ . The inductance of the coil is

Carbon shows the following oxidation state in its hydrides

The geometrical shape of $ sp^{3}d$ hybridisation is

Which one of the following examples exhibit transient existence?

According to Huckel's rule an aromatic compound must possess