Recent questions tagged 2007

If a line makes an angle of $\frac{\pi}{4}$ with the positive directions of each of $x-axis$ and $y-axis$, then the angle that the line makes with the positive direction of the $z-axis$ is :

asked Nov 29, 2018 by pady_1

0 answers

For the Hyperbola $\frac{x^2}{\cos^2 \alpha} - \frac{y^2}{\sin^2 \alpha} = 1$, which of the following remains constant when $\alpha$ varies?

asked Nov 29, 2018 by pady_1

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If $D = \begin{vmatrix} 1 & 1 & 1 \\ 1 & 1+x & 1 \\ 1 & 1 & 1+y \end{vmatrix}$ for $x \neq 0, y \neq 0$, then $D$ is :

asked Nov 29, 2018 by pady_1

0 answers

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is :

asked Nov 29, 2018 by pady_1

1 answer

The resultant of two forces $P \;N$ and $3\; N$ is a force of $7\; N$. If the direction of the $3\; N$ force were reversed, the resultant would be $\sqrt{19} N$. The value of $P$ is :

asked Nov 29, 2018 by pady_1

0 answers

If $ | z+4| \leq 3$, then the maximum value of $|z+1|$ is :

asked Nov 29, 2018 by pady_1

0 answers

The normal to a curve at $P(x,y)$ meets the $x-axis$ at $G$. If the distance of $G$ from the origin is twice the abscissa of $P$, then the curve is a :

asked Nov 29, 2018 by pady_1

0 answers

The sum of the series <br> $^{20}C_0 - ^{20}C_1 + ^{20}C_2 - ^{20}C_3 + . . . .- . . . . + ^{20}C_{10}$ is :

asked Nov 29, 2018 by pady_1

0 answers

A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (=a) subtends an angle of $60^{\circ}$ at the foot of the tower and the angle of elevation of the top of the tower from A or B is $30^{\circ}$. The height of the tower is :

asked Nov 29, 2018 by pady_1

0 answers

If $p$ and $q$ are positive real numbers such that $p^2 + q^2 = 1$, then the maximum value of $(p + q)$ is :

asked Nov 29, 2018 by pady_1

0 answers

The differential equation of all circles passing through the origin and having their centres on the $x-axis$ is :

asked Nov 29, 2018 by pady_1

0 answers

Let $L$ be the line of intersection of the planes $2x + 3y + z = 1$ and $x + 3y + 2z = 2$. If $L$ makes an angle $\alpha$ with the positive $x-axis$, then $\cos \alpha $ equals :

asked Nov 29, 2018 by pady_1

0 answers

Consider a family of circles which are passing through the point $(-1, 1)$ and are tangent to $x-axis$. If $(h, k)$ are the coordinates of the centre of the circles, then the set of values of $k$ is given by the interval :

asked Nov 29, 2018 by pady_1

1 answer

A pair of fair dice is thrown independently three times. The probabiliy of getting a score of exactly 9 twice is :

asked Nov 29, 2018 by pady_1

0 answers

A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their outer ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are :

asked Nov 29, 2018 by pady_1

0 answers

The largest interval lying in $(-\frac{\pi}{2}, \frac{ \pi}{2})$ for which the function $[f(x) = 4 x^{-x^2} + \cos^{-1} (\frac{x}{2} - 1) + \log (\cos x) ]$ is defined, is :

asked Nov 29, 2018 by pady_1

0 answers

The set $S : \{1, 2, 3, . . . . ,12\}$ is to be partitioned into three sets $A, B, C$ of equal size. Thus, $A \cup B \cup C = S, A \cap B = B \cap C = A \cap C = \phi$. The number of ways to partition $S$ is :

asked Nov 29, 2018 by pady_1

0 answers

In the binomial expansion of $(a-b)^n, n \geq 5$, the sum of $5^{th}$ and $6^{th}$ terms is zero, then $\frac{a}{b}$ equals :

asked Nov 29, 2018 by pady_1

0 answers

In $\sin^{-1} (\frac{x}{5}) + \mathrm{cosec}^{-1}(\frac{5}{4}) = \frac{\pi}{2}$, then $a$ value of $x$ is :

asked Nov 29, 2018 by pady_1

0 answers

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals :

asked Nov 29, 2018 by pady_1

0 answers

Lysozyme that is present in perspiration, saliva and tears, destroys:

asked Jul 26, 2018 by pady_1

1 answer

Ultrasound of how much frequency is beamed into human body for sonography ?

asked Jul 26, 2018 by pady_1

2 answers

Which one of the following is a viral disease of poultry ?

asked Jul 26, 2018 by pady_1

2 answers

Which one of the following pairs is mismatched ?

asked Jul 26, 2018 by pady_1

1 answer

Which one of the following pairs is wrongly matched ?

asked Jul 26, 2018 by pady_1

1 answer

A human male produces sperms with the genotypes AB, Ab, AB, and ab pertaining to two diallelic characters in equal proportions. What is the corresponding genotype of this person ?

asked Jul 26, 2018 by pady_1

1 answer

Increased asthmatic attacks in certain seasons are related to:

asked Jul 26, 2018 by pady_1

1 answer

Bowman's glands are located in the

asked Jul 26, 2018 by pady_1

2 answers

Probiotics are-

asked Jul 26, 2018 by pady_1

2 answers

A plant requires magnesium for:

asked Jul 26, 2018 by pady_1

2 answers

The two polynucleotide chain in DNA are:-

asked Jul 26, 2018 by pady_1

1 answer

The population of an insect species shows an explosive increase in numbers during rainy season followed by its disappearance at the end of the season. What does this show ?

asked Jul 26, 2018 by pady_1

1 answer

Which one of the following statements is correct ?

asked Jul 26, 2018 by pady_1

1 answer

In cloning of cattle a fertilized egg is taken out of the mother's womb and:-

asked Jul 26, 2018 by pady_1

1 answer

The length of DNA molecule greatly exceeds the dimensions of the nucleus in eukaryotic cells. How is this DNA accommodated ?

asked Jul 26, 2018 by pady_1

1 answer

In pea plants, yellow seeds are dominant to green. If a heterozygous yellow seeded plant is crossed with a green seeded plant, what ratio of yellow and green seeded plants would you expect in $F_1$ generation ?

asked Jul 26, 2018 by pady_1

1 answer

Differentiation of organs and tissues in a developing organism, is associated with-

asked Jul 26, 2018 by pady_1

1 answer

In maize, hybrid vigour is exploited by:-

asked Jul 26, 2018 by pady_1

1 answer

Two genes R and Y are located very close on the chromosomal linkage map of maize plant. When RRYY and rryy genotypes are hybridized, the $F_2$ segregation will show:-

asked Jul 26, 2018 by pady_1

1 answer

During transcription, RNA polymerase holoenzyme binds to a gene promoter and assumes a saddle-like structure. What is it's DNA-binding sequence ?

asked Jul 26, 2018 by pady_1

1 answer

A common test to find the genotype of a hybrid is by:-

asked Jul 26, 2018 by pady_1

1 answer

Inheritance of skin colour in humans is an example of:-

asked Jul 26, 2018 by pady_1

1 answer

Telomere repetitive DNA sequences control the function of eukaryote chromosomes because they:

asked Jul 26, 2018 by pady_1

1 answer

Molecular basis of organ differentiation depends on the modulation in transcription by-

asked Jul 26, 2018 by pady_1

1 answer

In the hexaploid wheat, the haploid(n) and basic(x) numbers of chromosomes are:

asked Jul 26, 2018 by pady_1

1 answer

The Okazaki fragments in DNA chain growth:-

asked Jul 26, 2018 by pady_1

1 answer

A sequential expression of a set of human genes occurs when a steroid molecule binds to the:-

asked Jul 26, 2018 by pady_1

1 answer

A genetically engineered micro-organism used successfully in bioremediation of oil spills is a species of-

asked Jul 26, 2018 by pady_1

1 answer

One of endangered species of Indian medicinal plants is that of:-

asked Jul 26, 2018 by pady_1

1 answer

Which one of the following pairs of organisms are exotic species introduced in India ?

asked Jul 26, 2018 by pady_1

3 answers

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