Recent questions tagged jeemain

If $\int \large\frac{\sin x}{\cos x(1+\cos x)dx}$$=f(x)+c$ then $f(x)$ is equal to :

asked Nov 13, 2013 by meena.p

1 answer

If $u= \sin^{-1} \bigg(\large\frac{x}{y}\bigg)$$+\tan^{-1} \bigg(\large\frac{y}{x}\bigg)$, then the value of $x \large\frac{\partial u}{\partial x}$$+y \large\frac{\partial u}{\partial y}$ is :

asked Nov 13, 2013 by meena.p

1 answer

Observe the following statements :A : $f(x)=2x^3-9x^2+12x-3$ is increasing outside the interval $(1,2)$ R : f'(x) < 0 for $x \in (1,2)$ Then which of the following is true ?

asked Nov 13, 2013 by meena.p

1 answer

The radius of a circular plate is increasing at the rate of $0.01\;cm/sec$ when the radius is $12\; cm$. Then the rate at which the area increases, is :

asked Nov 13, 2013 by meena.p

1 answer

A stone thrown upwards, has its equation of motion $s=490t-4.9t^2$. Then the maximum height reached by it , is:

asked Nov 13, 2013 by meena.p

1 answer

If $x \sqrt {1+y}+y \sqrt {1+x}=0$ then $\large\frac{dy}{dx}$ is equal to :

asked Nov 13, 2013 by meena.p

1 answer

If $f(x) =10 \cos x +(13+2x) \sin x$ then $f''(x)+f(x)$ is equal to :

asked Nov 13, 2013 by meena.p

1 answer

Observe the following statements: $I. f(x) =ax^{41}+bx^{-40}=> \large\frac{f''(x)}{f(x)}$$=1640\;x^{-2} \quad II. \large\frac{d}{dx} $$\tan ^{-1} \bigg(\large\frac{2x}{1-x^2}\bigg)=\frac{1}{1+x^2}$Which of the following is correct ?

asked Nov 13, 2013 by meena.p

1 answer

If $R \to R$ is an even function which is twice differentiable on R and $f''(\pi)=1,$ then $f''(-\pi)$ is equal to :

asked Nov 13, 2013 by meena.p

1 answer

If $f: R \to R $ is defined by $f(x)= \left\{ \begin{array}{1 1} \large\frac{x+2}{x^2-3x+2} & \quad if & \quad x\in R -[-1,-2] \\ -1 & \quad if & \quad x=-2 \\ 0 & \quad if & \quad x=-1 \end{array} \right. $ then $f$ is continuous on the set :

asked Nov 13, 2013 by meena.p

1 answer

If $f: R \to R $ is defined by $f(x)= \left\{ \begin{array}{1 1} \large\frac{x-2}{x^2-3x+2} & \quad if & \quad x\in R -[1,2] \\ 2 & \quad if & \quad x=2 \\ 1 & \quad if & \quad x=2 \end{array} \right. $ then $\lim \limits_{x \to 2} \large\frac{f(x)-f(2)}{x-2}=$

asked Nov 13, 2013 by meena.p

1 answer

If $\overrightarrow a=\hat i+\hat j+\hat k\:\:\overrightarrow b=4\hat i+3\hat j+4\hat k\:\:and\:\:\overrightarrow c=\hat i+\alpha\hat j+\beta\hat k$ are linear dependent vectors and $|\overrightarrow c|=\sqrt 3$ then $ (\alpha,\beta)=?$

asked Nov 12, 2013 by rvidyagovindarajan_1

1 answer

The value of $a$ for which the volume of the parallelopiped formed by vectors $\hat i+a\hat j+\hat k,\:\:\hat j+a\hat k\:\:and\:\: a\hat i+\hat k$ becomes minimum is ?

asked Nov 12, 2013 by rvidyagovindarajan_1

1 answer

$\lim \limits_{x \to 0} x^2 \sin \large\frac{\pi}{x}$ is equal to :

asked Nov 12, 2013 by meena.p

1 answer

Which of the following equations gives a circle?

asked Nov 12, 2013 by meena.p

1 answer

The cartesian from of the polar equation $\theta=\tan^{-1} 2$ is :

asked Nov 12, 2013 by meena.p

1 answer

The line among the following which touches the parabola $y^2=4ax,$ is :

asked Nov 12, 2013 by meena.p

1 answer

The parabola with directrix $x+2y-1=0$ and focus (1,0) is :

asked Nov 12, 2013 by meena.p

1 answer

If $y=3x$ is a tangent to a circle with center $(1,1),$then the other tangent drawn through $(0,0)$ to the circle is:

asked Nov 12, 2013 by meena.p

1 answer

If $x-y+1=0$ meets the circle $x^2+y^2+y-1=0$ at A and B , then the equation of the circle with AB as diameter is :

asked Nov 12, 2013 by meena.p

1 answer

The equation of the circle whose diameter is the common chord of the circles $x^2+y^2+2x+3y+2=0$ and $x^2+y^2+2x-3y-4=0$ is :

asked Nov 12, 2013 by meena.p

1 answer

The point collinear with $(1,-2,-3)$ and $(2,0,0)$ among the following is :

asked Nov 12, 2013 by meena.p

0 answers

The direction cosines of the line passing through $P(2,3,-1) $ and the orgin are :

asked Nov 12, 2013 by meena.p

1 answer

The plane that divides the body into right and left halves :

asked Nov 12, 2013 by thanvigandhi_1

0 answers

The product of the perpendicular distances from the origin on the pair of straight lines $12x^2+25xy+12y^2+10x+11y+z=0$ is :

asked Nov 12, 2013 by meena.p

1 answer

If $ \overrightarrow x=\large\frac{\overrightarrow b\times\overrightarrow c}{[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]},\:\:\overrightarrow y=\large\frac{\overrightarrow c\times\overrightarrow a}{[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]},\:\:and\:\:\overrightarrow z=\large\frac{\overrightarrow a\times\overrightarrow b}{[\overrightarrow a\:\overrightarrow b\:\overrightarrow c]},$ then $\overrightarrow x.(\overrightarrow a+\overrightarrow b)+\overrightarrow y.(\overrightarrow b+\overrightarrow c)+\overrightarrow z.(\overrightarrow c+\overrightarrow a)=?$

asked Nov 12, 2013 by rvidyagovindarajan_1

1 answer

The area of the triangle formed by the pair of straight lines $(ax+by)^2-3(bx-ay)^2=0$ and $ax+by+c=0$, is :

asked Nov 12, 2013 by meena.p

1 answer

The equation of the straight line perpendicular to $5x-2y=7$ and passing through the point of intersection of the lines $2x+3y=1$ and $3x+4y=6$ is :

asked Nov 12, 2013 by meena.p

1 answer

Match the types of animal tissues given under List - I with the parts / organs in which they occur, given under List - II :

asked Nov 12, 2013 by thanvigandhi_1

0 answers

If PM is the perpendicular from $P(2,3)$ onto the line $x+y=3, then the co-ordinates of M are :

asked Nov 12, 2013 by meena.p

1 answer

Which of the following is the correct sequence of cell cycle ?

asked Nov 12, 2013 by thanvigandhi_1

0 answers

The area (in square units) of the triangle formed by the lines $x=0,y=0$ and $3x+4y=12,$ is :

asked Nov 12, 2013 by meena.p

1 answer

If a point P moves such that its distances from the point $A(1,1)$ and the line $x+y+z=0$ are equal, then locus of P is :

asked Nov 12, 2013 by meena.p

1 answer

For a binomial variate X with $n=6,$ if $P(X=2)=9\;P(X=4),$ then its variance is :

asked Nov 12, 2013 by meena.p

1 answer

If the range of a random variable X is $\{0,1,2,3,4.......\}$ with $P(X =k)= \large\frac{(k+1)a}{3^k}$ for $ k \leq 0,$ then a is equal to :

asked Nov 12, 2013 by meena.p

1 answer

Box A contains 2 black and 3 red balls, white Box contains 3 black and 4 red balls. Out of these two boxes one is selected at random ; and the probability of choosing Box A is double that of Box B. If a red ball is drawn from the selected box, then the probability that it has come from Box B, is :

asked Nov 12, 2013 by meena.p

2 answers

Choose the animal which exhibits the following characteristics

asked Nov 12, 2013 by thanvigandhi_1

0 answers

Which of the following statements are correct with regards to Deuterostomes ?

asked Nov 12, 2013 by thanvigandhi_1

0 answers

Statement (S) : Populations of a species inhabiting different geographical areas are in a continuous process of adaptation to their surrounding environments and this leads to the evolution of a new species. Reasons (R) : Geographical barriers obstruct interbreeding of populations of a species leading to reproductive isolation and evolution of new species.

asked Nov 12, 2013 by thanvigandhi_1

0 answers

A number n is chosen at random from $S=\{1,2,3,.....,50\}$.Let $A= \bigg \{ n \in S:n +\large\frac{50}{n} $$ > 27 \bigg\}$$,B= (n \in S:n$ is a Prime) and $C=\{n \in S:n \;is\; a\; square \}$. Then correct order of their probabilities is :

asked Nov 12, 2013 by meena.p

1 answer

From the following, identify DNA fragment showing palindromic sequence :

asked Nov 12, 2013 by thanvigandhi_1

0 answers

Study the following lists

asked Nov 12, 2013 by thanvigandhi_1

0 answers

A coin and six faced die, both unbiassed, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die, is :

asked Nov 12, 2013 by meena.p

1 answer

Observe the following statements:A: Three vectors are coplanar if one of them is expressible as a linear combination of the other two. R: Any three coplanar vectors are linearly dependent . Then which of the following is true?

asked Nov 12, 2013 by meena.p

1 answer

Identify the correct combination of the following related to recombinant DNA technology :

asked Nov 12, 2013 by thanvigandhi_1

0 answers

Study the following lists

asked Nov 12, 2013 by thanvigandhi_1

0 answers

Observe the following lists :

asked Nov 12, 2013 by meena.p

1 answer

If $ 'X'$ molecules of ATP are utilized to produce one molecule of glucose during photosynthesis of a $C_3$ plant and $'Y'$ molecules of ATP are formed through substrate level phosphorylation during the breakdown of one molecule of glucose in aerobic respiration, then the ratio of $'X'\: and \: 'Y' $ is :

asked Nov 12, 2013 by thanvigandhi_1

0 answers

I : Two non-zero , non-collinear vectors are linearly independent. II. Any three coplanar vectors are linearly dependent .Which of the above statements is /are true?

asked Nov 12, 2013 by meena.p

1 answer

If $\overrightarrow {a}$ and $\overrightarrow{b}$ are unit vectors, then the vector $(\overrightarrow a+\overrightarrow b) \times (\overrightarrow{a} \times \overrightarrow{b})$ is parallel to the vector:

asked Nov 12, 2013 by meena.p

1 answer

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