\[\int e^x\left(1+x^2\right) d x=\]

Kavya takes a personal loan of ₹ 10,00,000 at the rate of 12% per annum for 5 years, then the EMI by using flat rate method is:

The random variable X can take only the values 0, 1, 2. Given that \(P(X = 0) = P(X = 1) = p\) and \(E(X^2) = E(X) + 1\), then the value of p is:

The differential equation of the family of lines through the origin is:

If \(\vec{a}\) and \(\vec{b}\) are two non-zero vectors such that \(\vec{a} \cdot \vec{b}=|\vec{a} \times \vec{b}|\), then angle between \(\vec{a}\) and \(\vec{b}\) is :

The area enclosed between the curve \(y=x^2+2\) and x -axis between \(x=0\) and \(x=3\) is :

Two dice are thrown simultaneously. If X denotes the number of sixes, then the variance of X is:

Match List-I with List-II

List-I	List-II
(A) Low mass number nuclei	(I) Medium penetrating power
(B) Electron microscope	(II) Nuclear reactor
(C) Beta decay	(III) Diffracted electron
(D) \( {}^{235}_{92}\text{U} \)	(IV) Fusion

Choose the correct answer from the options given below :

If an object moves towards a convex mirror with a speed of 10 m/s, what would be the speed of image when the object is 49m away? (Given focal length of convex mirror is 1m)

Choose the correct statement for the collision theory of chemical reactions

Read the passage carefully and answer the questions based on the passage:
Pest Resistance Plants
Various nematodes parasitize a wide variety of plants and animals, including human beings. A nematode, Meloidogyne incognitia, infects the roots of tobacco plants and causes a great reduction in yield. A noval strategy was adopted to prevent this infestation which was based on the process of RNA interference (RNAi). RNAi takes place in all eukaryotic organisms as a method of cellular defense. This method involves silencing of a specific mRNA due to a complementary dsRNA molecule that binds to and prevents translation of the mRNA (silencing). Plants, bacteria, fungi and animals whose genes have been altered by manipulation are called Genetically Modified Organisms (GMO). GM plants have been useful in many ways. Genetic modification has: (i) made crops more tolerant to abiotic stresses (cold, drought, salt, heat). (ii) reduced reliance on chemical pesticides (pest-resistant crops). (iii) helped to reduce post harvest losses. (iv) increased efficiency of mineral usage by plants (this prevents early exhaustion of fertility of soil). (v) enhanced nutritional value of food, e.g., golden rice, i.e., Vitamin 'A' enriched rice. Genetic modification of organisms can have unpredicatable results when such organisms are introduced into the ecosystem. Therefore, the Indian Government has set up organisations such as GEAC (Genetic Engineering Approval Committee), which will make decisions regarding the validity of GM research and the safety of introducing GM-organisms for public services. Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans (tobacco budworm, armyworm), coleopterans (beetles) and dipterans (flies, mosquitoes).
RNA interference involves:

The slope of the normal to the curve \(y=2 x^2\) at \(x=1\) is:

The unit of molar conductivity is