A person has purchased a home for Rs. 10,00,000 with a down payment of Rs. 2,00,000. He amortizes the balance at 9% per annum compounded monthly for 25 years.
Then the equal monthly instalment (EMI) is :
[Given that \(\frac{(1.0075)^{300}-1}{(0.0075)(1.0075)^{300}}=119.1616\) ]

The points on the curve \(\frac{x^2}{16}+\frac{y^2}{25}=1\) at which tangents are parallel to \(x\)-axis are:

If \(|\vec{a}|=10,|\vec{b}|=2\) and \(\vec{a} \cdot \vec{b}=12\), then value of \(|\vec{a} \times \vec{b}|\) is :

If \(\left[\begin{array}{cc}a b & c d \\ a+c & b+d\end{array}\right]=\left[\begin{array}{cc}2 & -3 \\ 4 & 1\end{array}\right]\) where \(a, b, c, d\) are integers, then which of the following are true?
(A) \(a+d=0\)
(B) \(b+d=3\)
(C) \(b+d=1\)
(D) \(c+d=2\)
Choose the correct answer from the options given below :

If \(f(x)=e^x g(x), g(0)=2, g^{\prime}(0)=1\) then \(f^{\prime}(0)\) is equal to:

Consider the lines \(l_1: \frac{x-1}{0}=\frac{y-1}{1}=\frac{2-z}{1}\) and \(l_2: \frac{x}{2}=\frac{y}{0}=\frac{2 z-1}{4}\), then which of the following are correct?
(A) Direction Ratios of \(l_1=\langle 0,1,1\rangle\)
(B) Direction Ratios of \(l_2=\langle 2,0,2\rangle\)
(C) Angle between \(l_1\) and \(l_2=\frac{\pi}{3}\)
(D) Angle between \(l_1\) and \(l_2=\frac{2 \pi}{3}\)
Choose the correct answer from the options given below :

If the points (-1,-1,2), (2, m, 5) and (3, 11, 6) are collinear, then m equals

In amines, the nitrogen atom is A and B hybridised, making geometry of amines as C. Then A, B and C respectively are:

If \(y=\frac{1}{x+1}\), then \(\frac{d^2 y}{d x^2}\) at x = 2 is:

If v is the frequency of ac mains, then the frequency of sonometer wire at resonance is :

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal.
Heroin, commonly called smack is chemically ______ which is a white, odourless, bitter crystalline compound.

What is the mean of the numbers obtained on throwing a die having written \(1\) on three faces, \(2\) on two faces and \(5\) on \(1\) face?

The light of wavelength 600 mm is coming from a star. What is the limit of resolution of a telescope whose objective has a diameter of 2.54 m ?