If A is a non-identity invertible symmetric matrix, then \(A^{-1}\) is:

The co-ordinates of the point where the line\(\frac{x+3}{3}=\frac{y-1}{-1}=\frac{z-5}{-5}\) cuts the yz--plane are :

A linear programming problem is as follows :
Minimize \(z=2 x+3 y\)
Subject to the constraints \(x \geq 3, x \leq 9, y \geq 0, x-y \geq 0, x+y \leq 14\).
The feasible region has 5 corner points including

If \(x \sqrt{1+y}+y \sqrt{1+x}=0\), where \(|x|<1,|y|<1\) and \(x \neq y\), then

The point on the curve \(y^2=x\), where the tangent makes an angle of \(\frac{\pi}{4}\) with x-axis is:

If \(\cos y=x \cos (a+y)\), then \(\frac{d y}{d x}=\)

Which one of the following set of constraints does the given shaded region represent?

If an investment of Rs. \(12000\) becomes Rs. \(72000\) in \(4\) years, then the compound annual growth rate is:

The process of breeding crops for higher level of proteins, vitamins and/or oil content is called

Arrange the following alcohols in increasing order of their boiling points.
(A) Propan-1-ol
(B) Butan-2-ol
(C) Butan-1-ol
(D) Pentan-1-ol
Choose the correct answer from the options given below:

Read the following paragraph and answer the given questions:
DRUGS AND ALCOHOL ABUSE
The drugs, commonly abused are opioids, cannabinoids, and coca alkaloids. Opioids are the drugs, which bind to specific opioid receptors present in our central nervous system and gastrointestinal tract. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Natural cannabinoids are obtained from the inflorescences of the plant Cannabis sativa. The flower tops, leaves and the resin of cannabis plant are used in various combinations to produce marijuana, hashish, charas and ganja. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body. It interferes with the transport of the neuro-transmitter dopamine. Cocaine, commonly called coke or crack is usually snorted. It has a potent stimulating action on central nervous system, producing a sense of euphoria and increased energy. Excessive dosage of cocaine causes hallucinations. Other well-known plants with hallucinogenic properties are Atropa belladona and Datura. These days cannabinoids are also being abused by some sportspersons. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery. Several plants, fruits and seeds having hallucinogenic properties have been used for hundreds of years in folk-medicine, religious ceremonies and rituals all over the globe.
__________ are used as medicines to help patients cope with mental illnesses like depression and insomnia.

The maximum value of a LPP \(z=3 x+4 y\) subject to the constraints: \(x+y \leq 6, x \geq 0, y \geq 0\) is:

Match List - I with List - II

List - I	List - II
(A) Impurity defect	(I) NaCl with anionic sites called F centres
(B) Metal excess defect	(II) FeO with Fe3+
(C) Metal deficiency defect	(III) Non ionic solids and density of solid decreases
(D) Simple vacancy defect	(IV) NaCl with Sr2+ and cationic sites vacant

Choose the correct answer from the options given below: