Recent questions tagged class12

The lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b_1$ and $\overrightarrow r=\overrightarrow a_2+\alpha \overrightarrow b_2$ are coplanar if ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If the plane $\large\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1$ cuts the coordinate axis in $A,B,C$ respectively, then the area of the $\Delta\:ABC$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The probability that in a throw of 12 dice 1,1, 2,2, 3,3, 4,4, 5,5, 6,6 will occur in any sequence is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

The image of the point $P(1,3,4)$ in the plane $2x-y+z+3=0$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

If $L\rightarrow\:\:\large\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}$ and the plane $P\rightarrow\:\:x-2y-z=0$, then which of the following is true?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

A man is known to speak the truth in 75% cases. He throws a die and reports that it is a five. The probability that it is actually a five is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{5}{7} $$\sin (3x+7) \cos (3x+7) dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac {\sin ^6 x +\cos ^6 x }{\sin ^2 x \cos ^2 x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \sqrt {1- \sin x }dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{1}{1- \sin x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Let A and B be two events such that $ P ( A') = 0.3 \: P(B)=0.4 \: and \: P(A \cap B') = 0.5$ then $ P(B/A\: UB')=$

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \cos (\sin x)dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \large\frac{7}{5}$$ \log _e(\large e^{x^3}) dx$

asked Jan 2, 2014 by meena.p

1 answer

Two fair dice are tossed once. The probability of getting an even number on the first die or a total of 8 is

asked Jan 2, 2014 by thanvigandhi_1

2 answers

Integrate : $\int \large\frac{x^5 +x^3+1}{x^2}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Three coins are tossed. The probability that not more than two coins will fall with head upwards is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{\cos \sqrt x }{\sqrt x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

The coordinates of the point on the line through $(3,-4,-5)$ and $(2,-3,1)$ at which the line crosses the plane $2x+y+z=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

Integrate : $\int e^{2x} \cos 5x dx$

asked Jan 2, 2014 by meena.p

1 answer

In a throw of two coins, the probability of getting both heads or both tails is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

The distance of the point $(-1,-5,-10)$ from the point of intersection of the line $\overrightarrow r=(2\hat i-\hat j+2\hat k)+\lambda(3\hat i+4\hat j+12\hat k)$ and the plane $\overrightarrow r.(\hat i-\hat j+\hat k)=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

A bag contains tickets numbered 1 to 20. Two tickets are drawn from the bag. The probability that both the numbers appearing on the tickets drawn will be prime is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

$\int \large\frac{2x^2+3}{(x^2-1)(x^2+4)}$$dx=a \log \bigg(\large\frac {x+1}{x-1} \bigg)+6 \tan ^{-1} \bigg( \large\frac{x}{2}\bigg)+c$ find the value of a and b?

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \sqrt x .e^{\sqrt x} dx $

asked Jan 2, 2014 by meena.p

1 answer

An urn contains 10 blue and 6 red balls. 3 balls are drawn from the urn. The probability that at least two of the balls drawn will be red is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

If from the point $P(a,b,c)$ perpendiculars $PA$ and $PB$ are drawn to $yz$ and $zx$ planes respectively then the vector equation of the plane $OAB$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

A coin is tossed thrice. The probability of getting head at least once is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate: $\int \large\frac{x^3 \sin ^{-1}(x^2)}{\sqrt {1-x^4}}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

A bag contains 5 black and 3 white balls. Two balls are drawn from the bag at random and without replacement. The probability of obtaining both white balls is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A family has 4 children. A child is selected at random from the family. Assuming that there are equal number of boys and girls in the family, the probability that the selected child is a girl is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A fair die is tossed once. The probability that either an even number or 3 will appear

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $ \int \cos^{-1} \sqrt {\large\frac{x}{a+x}}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

The equation of the plane whose foot of $\perp$ drawn from origin is $(1,2,1)$. is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane that meets the coordinated axis at the points $A,B,C$ respectively so that the centroid of the $\Delta ABC$ is $(\alpha,\beta,\gamma)$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The direction ratio of the line $3x+1=6y-2,\:z=1$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

Potential energy of a particle varies as a function of $x$ and is given as $ U(x)$ \[ \begin {bmatrix} E_{\circ} & 0 \leq x \leq 1 \\ 0 & x > 1 \end {bmatrix} \] The de-Broglie wavelengths of the particle in the region $ 0 \leq x \leq1$ and $x>1$ are $ \lambda_1$ and $ \lambda_2$ respectively. If the total energy of the particle is $2E_{\circ}$, the ratio $ \large\frac{\lambda_1}{\lambda_2}$is

asked Jan 1, 2014 by thanvigandhi_1

1 answer

Assume that the de-Broglie wave associated with an electron can form a standing wave between the atoms arranged in a one dimensional array with nodes on each of the atomic site. It is found that one such standing wave is formed if the distance between the atoms of the array is $2\: A^{\circ}$ A similar standing wave is again formed if $d$ is increased to $2.5\: A^{\circ}$ . but not for any other intermediate value of $d$. The energy of the electron is

asked Jan 1, 2014 by thanvigandhi_1

1 answer

Light of wavelength $4000\: A^{\circ}$ and intensity $100 W/m^2$ is incident on a plate of threshold frequency $ 5.5 \times 10^{14}Hz$. The no. of photons incident per $m^2$ per second is

asked Jan 1, 2014 by thanvigandhi_1

1 answer

The equation of a line that are equally inclined with the coordinate axis and and which passes through $(-1,2,3)$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

One milliwatt of light of wavelength of 4560 $A^{\circ}$ is incident on a cesium surface. Calculate the electron current liberated. Assume a quantum efficiency of 0.5%.

asked Jan 1, 2014 by thanvigandhi_1

1 answer

The angle between the lines whose $d.c.$ are given by the equations $3l+m+5n=0$ and $6mn-2nl+5lm=0$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The equation of the line through the point $(1,2,3)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+2\hat j-5\hat k)+9=0$ is ?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The equation of the line through the point $(1,1,3)$ and parallel to the planes $\overrightarrow r.(\hat i-\hat j+2\hat k)=5$ and $\overrightarrow r.(3\hat i+\hat j+\hat k)=6$ is ?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The line $\large\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ is parallel to the which of the following?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

Integrate: $\int \cos^{-1} (-3x +4x^3)dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int x\bigg( \large\frac{\sec 2x -1}{\sec 2x+1}\bigg) dx$

asked Dec 31, 2013 by meena.p

1 answer

If a line makes angle $\alpha,\:\beta,\:\gamma$ with $x-axis,\:y-axis\:and\:\:z-axis$ respectively, then $sin^2\alpha+sin^2\beta+sin^2\gamma=?$

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

If the speed of photoelectrons is $10^4\: m/s$, what should be the frequency of the incident radiation on a potassium metal? (work function of potassium = $2.3 eV)$

asked Dec 31, 2013 by thanvigandhi_1

1 answer

Integrate : $\int \log _a x dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{5-4 \sin x} $$dx$

asked Dec 31, 2013 by meena.p

1 answer

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