Recent questions tagged q12

Find the equation of the line passing through the point of intersection of the lines $4x + 7y – 3 = 0$ and $2x – 3y + 1 = 0$ that has equal intercepts on the axes.

asked May 21, 2014 by thanvigandhi_1

1 answer

A team of four students is to be selected from a total of 12 students.Total number of ways in which team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to

asked May 19, 2014 by sreemathi.v

1 answer

There are 10 persons named $P_1,P_2,P_3.....P_{10}$.Out of 10 persons,5 person are to be arranged in a line such that in each arrangement $P_1$ must occur where as $P_4$ and $P_5$ do not occur.Find the number of such possible arrangement.

asked May 15, 2014 by sreemathi.v

1 answer

Two lines passing through the point (2,3) intersects each other at an angle of $60^{\circ}$. If slope of one line is 2, find equation of the other line.

asked May 13, 2014 by thanvigandhi_1

1 answer

Prove the following statement by the principle of mathematical induction : \[\] $2n < (n+2)!$ for all natural number $n$.

asked May 5, 2014 by thanvigandhi_1

0 answers

Verify Mean value theorem for the following functions: $(a)\;f(x)=x(x+4)^2\;on\;[0,4]\\ (b)\;f(x)= 2 \sin x +\sin 2x \;on\;[0,\pi] \\ (c)\;f(x)=x^3-2x^2-x+3\;in\;[0,1] \\ (d)\;f(x)=x +\large\frac{1}{x} \normalsize \;on \;[1,3]$

asked May 1, 2014 by meena.p

0 answers

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ a+ar+ar^2+...+ar^{n-1}=\large\frac{a(r^n-1)}{r-1}$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

If $\cos\alpha+\cos\beta=0=\sin\alpha+\sin \beta$,then prove that $\cos 2\alpha+\cos 2\beta=-2\cos(\alpha+\beta)$

asked Apr 18, 2014 by sreemathi.v

1 answer

Prove : $\sin^26x-\sin^24x=\sin 2x.\sin 10x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $(ax+b)^n$

asked Apr 12, 2014 by thanvigandhi_1

1 answer

Show that $9^{n+1} – 8n – 9$ is divisible by $64$, whenever $n$ is a positive integer.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find $(x+1)^6 + (x – 1)^6$. Hence, evaluate $( \sqrt2 + 1)^6+(\sqrt 2 –1)^6$.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the equations of the hyperbola satisfying the given conditions: Foci: $(\pm 3\sqrt 5, 0)$, Latus Rectum is of length $8$.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

The coercivity of a small magnet where the ferromagnet gets demagnetized is $3 \times10^3\;Am^{-1}$. The current required to a passed in a solenoid of length $10\; cm$ and number of turns $100$, so that the magnet gets demagnetized when inside the solenoid, is

asked Apr 7, 2014 by meena.p

1 answer

Evaluate the following limits: $ \lim\limits_{x \to -2} \Large\frac{ \Large\frac{1}{x}+ \Large\frac{1}{2}}{ \normalsize x +2}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Find the equation of an ellipse that satisfies the following conditions: Vertices $\;(\pm6,0)$, Foci $\;(\pm4,0)$

asked Apr 2, 2014 by balaji.thirumalai

1 answer

Find the equation of a parabola that satisfies the following condition - vertex $(0,0)$ and passing through $(5,2)$ and symmetric with respect to y-axis.

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle passing through the point $(2,3)$ with radius $5$ whose centre lies on the x-axis.

asked Apr 1, 2014 by balaji.thirumalai

1 answer

The sum of first four terms of an A.P. is $56$. The sum of last four terms is $112$. If its first term is $11$ then find the number of terms.

asked Mar 30, 2014 by rvidyagovindarajan_1

1 answer

Nucleic acids are the polymers of

asked Mar 27, 2014 by thanvigandhi_1

1 answer

Which of the following pairs of species will yield carbylamine?

asked Mar 21, 2014 by thanvigandhi_1

1 answer

In the electrolyte refing of silver the anode mud obtained contain

asked Mar 17, 2014 by meena.p

1 answer

Which of the following is not spontaneous?

asked Mar 15, 2014 by thanvigandhi_1

1 answer

Among the following molecules,the dipole moment is the highest for

asked Mar 10, 2014 by sreemathi.v

1 answer

Which of the following polymers has the strongest interparticle forces?

asked Mar 6, 2014 by thanvigandhi_1

1 answer

Sandmeyer's reaction can be represented by

asked Feb 28, 2014 by sreemathi.v

1 answer

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