The points on the ellipse \(\frac{x^2}{9}+\frac{y^2}{25}=1\) at which the tangents are parallel to the \(x\)-axis are:

Siyaram has 100 Kg apples, he sells a part of it at \(8\%\) profit and rest of it at \(18\%\) profit. The overall profit he earns is \(14\%\). The quantity he sold at \(18\%\) profit is :

The function \(f(x)=\frac{x}{(x-2)(x-3)(x-5)}, x \in R\) is :

The value of \(\tan ^{-1} \frac{2}{11}+\tan ^{-1} \frac{7}{24}\) is :

In \(\triangle A B C\), which of the following is not true is:
(A) \(\overrightarrow{A B}+\overrightarrow{B C}+\overrightarrow{C A}=\overrightarrow{0}\)
(B) \(\overrightarrow{A B}+\overrightarrow{B C}-\overrightarrow{A C}=\overrightarrow{0}\)
(C) \(\overrightarrow{A B}+\overrightarrow{B C}-\overrightarrow{C A}=\overrightarrow{0}\)
(D) \(\overrightarrow{A B}-\overrightarrow{C B}+\overrightarrow{C A}=\overrightarrow{0}\)
(E) \(\overrightarrow{B A}-\overrightarrow{B C}-\overrightarrow{C A} \neq \overrightarrow{0}\)

Ramesh plans to save some amount required after 10 years for higher studies of his son.
He expects the cost of these studies to be Rs. 1,00,000.
How much should be saved at the beginning of each year to accumulate this amount at the end of 10 years, if the interest rate is 12% compounded annually? \(\left(\right.\)Given \(\left.(1.12)^{11}=3.477\right)\)

Using the concept of differentials,\(\sqrt{36.6}\) is approximately equal to:

The factors that affect the Hardy Weinberg equilibrium are:
(A) Gene flow
(B) Genetic Drift
(C) Mutation
(D) Feeding habit
Choose the correct answer from the options given below:

An alternating voltage \( V = 140 \sin 100\pi t \) is connected across a pure resistor of resistance \( 40 \, \Omega \). What is the rms current through the resistor? (Take \( \sqrt{2} = 1.4 \))

The compound used as a primary standard in volumetric analysis is :

Three capacitors each of capacitance \( 3 \mu F \) are provided. These cannot be combined to provide the resultant capacitance of:

Answer the question on the basis of passage given below:
Proteins are the polymers of about twenty different a-amino acids which are linked by peptide bonds. Proteins perform various structural and dynamic functions in the organisms. Proteins which contain only a-amino acids are called simple proteins. The secondary or tertiary structure of proteins get disturbed on change of pH or temperature and they are not able to perform their functions. This is called denaturation of proteins. Enzymes are biocatalysts which speed up the reactions in biosystems. Vitamins are accessory food factors required in the diet. They are classified as fat soluble (A, D, E and K) and water soluble (B group and C). Deficiency of vitamins leads to many diseases. Nucleic acids are the polymers of nucleotides which in turn consist of a base, a pentose sugar and phosphate moiety. Nucleic acids are responsible for the transfer of characters from parents to offsprings. There are two types of nucleic acids DNA and RNA. DNA contains a five carbon sugar molecule called 2-deoxyribose whereas RNA contains ribose.
Which of the following is an essential amino acid?

A resistor of resistance \( 30 \, \Omega \) and a capacitor of capacitance \( (250 \pi^{-1}) \, \mu\text{F} \) are connected in series to a 220 V, 50 Hz source. The current in the circuit is