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Recent questions and answers in JEEMAIN PAST PAPERS
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JEEMAIN PAST PAPERS
JEEMAIN PAST PAPERS
1998
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Questions from: JEEMAIN PAST PAPERS
Which of the following is an anionic detergent ?
jeemain
chemistry
past papers
2016
59
answered
Jan 15
by
himanshipandegi1174598
1
answer
In a compensated pendulum two rods of different metals are used with their lengths in ratio of $2:3$. The coefficients of linear expansions for metals in the ratio is :
jeemain
physics
past papers
1999
23
answered
Jan 10
by
sangeetadhadiya
1
answer
An aqueous solution of a salt $X$ turns blood red on treatment with $SCN^-$ and blue on treatment with $K_4 [Fe(CN)_6 ]$. $X$ also gives a positive chromyl chloride test. The salt $X$ is :
jeemain
chemistry
past papers
2015
47
answered
Jan 3
by
dhirendrachauhanchauhan7922
1
answer
Two metal rods A and B of equal lengths and equal cross-sectional areas are joined end to end. The coefficients of thermal conductivities of A and B are in the ratio 2:3, when the free end of A is maintained at $100^{\circ}C$ and the free end of B is maintained at $0^{\circ}C$, the temperature of the junction is :
jeemain
physics
past papers
2000
46
answered
Dec 31, 2018
by
statuswithadesh2001
1
answer
Among the first lines of Lyman, Balmer, Paschen and Brackett series in hydrogen atomic spectra, which has the highest energy?
jeemain
chemistry
past papers
1999
87
answered
Dec 30, 2018
by
fahadbuledi103
1
answer
In an ellipse, the distances between its foci is 6 and minor axis is 8. Then its eccentricity is :
jeemain
math
past papers
2006
122
answered
Dec 25, 2018
by
vivekgourbly
1
answer
The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be 1000 ppb, 40 ppb, 100 ppm and 0.2 ppm, respectively. This water is unsuitable for drinking due to high concentration of :
jeemain
chemistry
past papers
2016
50
answered
Dec 25, 2018
by
kanchanhp12
1
answer
The lines $2x - 3y = 5$ and $3x - 4y =7$ are diameters of a circle having area as $154\; sq. unit$. Then the equation of the circle is :
jeemain
math
past papers
2003
200
answered
Dec 23, 2018
by
mooduvijay
1
answer
In the given transformation, which of the following is the most appropriate reagent ? <br> <img src="http://clay6.com/mpaimg/993_a.jpg "/>
jeemain
chemistry
past papers
2012
90
answered
Dec 21, 2018
by
pjmathurkar
1
answer
Assuming that water vapour is an ideal gas, the internal energy change ($\Delta U$) when 1 mole of water is vapourised at 1 bar pressure and $100^{\circ}C$, (Given : molar enthalpy of vaporisation of water at 1 bar and 373 K = 41 kJ mol$^{-1}$ and R = 8.3 J mol$^{-1}$ K$^{-1}$ ) will be :
jeemain
chemistry
past papers
2007
97
answered
Dec 20, 2018
by
patrickmageso
1
answer
Consider a rubber ball freely falling from a height h = 4.9 m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time the height as function of time will be
jeemain
physics
past papers
2009
19
answered
Dec 20, 2018
by
ravichandranashwin234
1
answer
10.6 g of a substance of molecular weight 106 was dissolved in 100 mL. 10 mL of this solution was pipetted out into a 1000 mL flask and made up to the mark with distilled water. The molarity of the resulting solution is :
jeemain
chemistry
past papers
1998
53
asked
Dec 20, 2018
by
pady_1
0
answers
If the vectors $\overrightarrow{a} = ( 1, x, -2)$ and $\overrightarrow{b} = (x, 3, -4)$ are mutually perpendicular, then is :
jeemain
math
past papers
1998
200
asked
Dec 19, 2018
by
pady_1
0
answers
If $|\overrightarrow{a}| = 5, |\overrightarrow{b} |= 6, |\overrightarrow{a}. \overrightarrow{b} | = 24$ then $|\overrightarrow{a} \times \overrightarrow{b} |$ is equal to :
jeemain
math
past papers
1998
199
asked
Dec 19, 2018
by
pady_1
0
answers
If $\overrightarrow{\alpha}$ and $\overrightarrow{\beta}$ are non zero and different vector such that $|\overrightarrow{\alpha} + \overrightarrow{\beta}| = |\overrightarrow{\beta} - \overrightarrow{\alpha}|$, then the angle between $\overrightarrow{\alpha} $ and $\overrightarrow{\beta}$ is :
jeemain
math
past papers
1998
198
asked
Dec 19, 2018
by
pady_1
0
answers
If $\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}$ are unit vectors such that $\overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = 0$. Then $\overrightarrow{a}. \overrightarrow{b} + \overrightarrow{b}. \overrightarrow{c} + \overrightarrow{c} . \overrightarrow{a}$ is equal to :
jeemain
math
past papers
1998
197
asked
Dec 19, 2018
by
pady_1
0
answers
The angle between the planes <br> $\overrightarrow{r} ( 2 \hat{i} - \hat{j} + 2 \hat{k}) = 3$ and <br> $\overrightarrow{r}(3 \hat{i} - 6 \hat{j} + 2 \hat{k} )= 4$ is :
jeemain
math
past papers
1998
196
asked
Dec 19, 2018
by
pady_1
0
answers
If $\overrightarrow{A}, \overrightarrow{B}, \overrightarrow{C}$ are three vectors such that $|\overrightarrow{A} | = 4, \; |\overrightarrow{B}| = 5,\; |\overrightarrow{C}|=6$, then $[\overrightarrow{A} - \overrightarrow{B} \; \; \overrightarrow{B} - \overrightarrow{C} \; \; \overrightarrow{C} - \overrightarrow{A} ] $ is equal to :
jeemain
math
past papers
1998
195
asked
Dec 19, 2018
by
pady_1
0
answers
If $\overrightarrow{A} = \hat{i} + \lambda \hat{j} + \hat{k}, \; \overrightarrow{B} = \hat{i} + \hat{j} + \hat{k}$, then for $|\overrightarrow{A} + \overrightarrow{B}| = |\overrightarrow{A} | + |\overrightarrow{B}|$ to be true, the value of $\lambda$ is equal to :
jeemain
math
past papers
1998
194
asked
Dec 19, 2018
by
pady_1
0
answers
If $2\hat{i} + 3 \hat{j} - 6\hat{k}, \; 6\hat{i} - 2\hat{j} + 3 \hat{k}, \; 3 \hat{i} - 6 \hat{j} - 2 \hat{k}$ represent the sides of a triangle, then the perimeter of the triangle is:
jeemain
math
past papers
1998
193
asked
Dec 19, 2018
by
pady_1
0
answers
The three points whose position vectors are $\hat{i} +2 \hat{j} +3\hat{k}, \; 3 \hat{i} + 4 \hat{j} +7 \hat{k}$ and $- 3 \hat{i} - 2 \hat{j} - 5 \hat{k}$ :
jeemain
math
past papers
1998
192
asked
Dec 19, 2018
by
pady_1
0
answers
The probability of a man hitting a target is $\frac{1}{4}$. If he fires 7 times, the probability of hitting the target at least twice is :
jeemain
math
past papers
1998
191
asked
Dec 19, 2018
by
pady_1
0
answers
A random variable $X$ has the following distribution <br> <img src="http://clay6.com/mpaimg/1321_a.jpg"/> <br> the mean and the variance are :
jeemain
math
past papers
1998
190
asked
Dec 19, 2018
by
pady_1
0
answers
A coin tossed 3 times. The probability of getting head once and tails two times, is :
jeemain
math
past papers
1998
189
asked
Dec 19, 2018
by
pady_1
0
answers
A random variable $X$ has the following distribution <br> <img src="http://clay6.com/mpaimg/1320_a.jpg"/> <br> the values of $k$ and $P(X < 3)$ are equal to :
jeemain
math
past papers
1998
188
asked
Dec 19, 2018
by
pady_1
0
answers
Two dice are thrown at a time and the sum of the numbers on them is 6. The probability of getting the number 4 on any of the dice, is :
jeemain
math
past papers
1998
187
asked
Dec 19, 2018
by
pady_1
0
answers
A problem in EAMCET examination is given to 3 students A, B and C whose chance of solving it are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$ respectively, the probability that the problem is solved, is :
jeemain
math
past papers
1998
186
asked
Dec 19, 2018
by
pady_1
0
answers
A and B are mutually exclusive events with $P(A) = \frac{1}{2} P(B)$ and $A \cup B = S$ the sample space, then $P(A)$ is equal to :
jeemain
math
past papers
1998
185
asked
Dec 19, 2018
by
pady_1
0
answers
The equation $r = 5 \cos \theta + 12 \sin \theta$ represents :
jeemain
math
past papers
1998
184
asked
Dec 19, 2018
by
pady_1
0
answers
$\begin{align*} \int_0^a \sqrt{a^2 - x^2} dx \end{align*}$ is equal to :
jeemain
math
past papers
1998
183
asked
Dec 19, 2018
by
pady_1
0
answers
The area bounded by $y = 3x$ and $y =x^2$ is (in sq unit) :
jeemain
math
past papers
1998
182
asked
Dec 19, 2018
by
pady_1
0
answers
$\begin{align*} \int_0^{\pi/2} \sin^6 x \cos^5 x \; dx \end{align*}$ is equal to :
jeemain
math
past papers
1998
181
asked
Dec 19, 2018
by
pady_1
0
answers
$\begin{align*} \int \frac{e^x (1+x \log x)}{x}\;dx \end{align*}$ is equal to :
jeemain
math
past papers
1998
180
asked
Dec 19, 2018
by
pady_1
0
answers
$\begin{align*} \int \frac{x^5}{x^2 + 1} \;dx \end{align*}$ is equal to :
jeemain
math
past papers
1998
179
asked
Dec 19, 2018
by
pady_1
0
answers
The value of $(127)^{1/3}$ upto 4 decimal places, is :
jeemain
math
past papers
1998
178
asked
Dec 19, 2018
by
pady_1
0
answers
The point on the curve $y^2 = 4x$ which is the nearest to the point $(2, 1)$ is :
jeemain
math
past papers
1998
177
asked
Dec 19, 2018
by
pady_1
0
answers
The maximum value of $fx) = 2x^3 - 21x^2 + 36 x + 20$, in the interval $0 \leq x \leq 2$, is
jeemain
math
past papers
1998
176
asked
Dec 19, 2018
by
pady_1
0
answers
The solution of the differential equation $\frac{dy}{dx} - \frac{2xy}{1+x^2}=0$ is :
jeemain
math
past papers
1998
175
asked
Dec 19, 2018
by
pady_1
0
answers
$y = x^2 \sin 2x$, then $n^{th}$ derivative of $y ( n = 4m)$ is :
jeemain
math
past papers
1998
174
asked
Dec 19, 2018
by
pady_1
0
answers
$\frac{d}{dx} (x^x)$ is equal to :
jeemain
math
past papers
1998
173
asked
Dec 19, 2018
by
pady_1
0
answers
Derivative of $\sin^2x$ with respect to $(\log x)^2$ is:
jeemain
math
past papers
1998
172
asked
Dec 19, 2018
by
pady_1
0
answers
$\frac{d}{dx} (\cos x*)$ is equal to :
jeemain
math
past papers
1998
171
asked
Dec 19, 2018
by
pady_1
0
answers
If $f(x) = \frac{\sin x }{x}, \; x \neq 0$, if $f(x)$ is to be continuous at $x=0$, then $f(0)$ is equal to :
jeemain
math
past papers
1998
170
asked
Dec 19, 2018
by
pady_1
0
answers
One of the focii of hyperbola is origin and the corresponding directrix is $3x + 4y + 1=0$. The eccentricity of the hyperbola is $\sqrt{5}$. The equation to the hyperbola is :
jeemain
math
past papers
1998
169
asked
Dec 19, 2018
by
pady_1
0
answers
The eccentricity of ellipse $9x^2 + 4y^2 = 36$ is :
jeemain
math
past papers
1998
168
asked
Dec 19, 2018
by
pady_1
0
answers
The pole of the line $2x + 3y- 4=0$ with respect to the parabola $y^2 = 4x$ is :
jeemain
math
past papers
1998
167
asked
Dec 19, 2018
by
pady_1
0
answers
The equation of the directrix to the parabola $y^2 -2x - 6y -5 = 0$ is
jeemain
math
past papers
1998
166
asked
Dec 19, 2018
by
pady_1
0
answers
The equation of the normal to the circle $x^2 + y^2 - 2x - 2y - 2 = 0$ at the point $(3,1)$ on it is :
jeemain
math
past papers
1998
165
asked
Dec 19, 2018
by
pady_1
0
answers
The length of the tangent from (6, 8) to the circle $x^2 + y^2 = 4$ is :
jeemain
math
past papers
1998
164
asked
Dec 19, 2018
by
pady_1
0
answers
If $(1,2), \; (4, 3)$ are the limiting points of a system of coaxial circles, then the radical axis of the system is :
jeemain
math
past papers
1998
163
asked
Dec 19, 2018
by
pady_1
0
answers
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