Recent questions tagged ch1

Is there a relationship between the size of an organism and its life span ? Give two examples in sup

asked Jun 11, 2017 by pady_1

1 answer

Rearrange the following events of sexual reproduction in the sequence in which they occur in a flowe

asked Jun 11, 2017 by pady_1

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Although potato tuber is an underground part, it is considered as a stem. Give two reasons.

asked Jun 11, 2017 by pady_1

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In haploid organism that undergo sexual reproduction, name the stage in the life cycle when meiosis

asked Jun 11, 2017 by pady_1

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What do the following parts of a flower develop into after fertilization ?

asked Jun 11, 2017 by pady_1

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In haploid organism that undergo sexual reproduction, name the stage in the life cycle when meiosis

asked Jun 11, 2017 by pady_1

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Between an annual and a perennial plant, which one has a shorter juvenile phase? Give one reaso

asked Jun 11, 2017 by pady_1

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Why do we refer to offspring formed by asexual method of reproduction as clones ?

asked Jun 9, 2017 by pady_1

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Mention two inherent characteristics of Amoeba and yeast that enable them to reproduce ase

asked Jun 9, 2017 by pady_1

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An oil company has two depots A and B with capacities of 7000 L and 4000 L respectively. The company is to supply oil to three petrol pumps, D, E and F whose requirements are 4500L, 3000L and 3500L respectively. Assuming that the transportation cost of 10 litres of oil is Rs 1 per km, How should the delivery be scheduled in order that the transportation cost is minimum ? What is the minimum cost? The distance (In km) between the depots and the petrol pumps is given in the following table :

asked Dec 27, 2016 by priyanka.c

1 answer

Find the area of the region $\{ (x,y) : 0 \leq y \leq x^2, 0 \leq y \leq x+2 , 0 \leq x \leq 3\}$

asked Dec 27, 2016 by priyanka.c

1 answer

Find the image of the point (1, 3. 4) in the plane $x-y+z =5$. Hence show that the image lies on the plane $x -2y +z -7 = 0$

asked Dec 27, 2016 by priyanka.c

1 answer

Radioactive wastes is to be disposed of in full enclosed lead boxes of inner volume $200 cm^3$. The base of the box has dimension in the ratio 2:1 . What is the inner length of the box. Find the minimum inner surface area of the box.

asked Dec 22, 2016 by priyanka.c

1 answer

Rent -a-car has three different makes of vehicles P, Q and R for hire. These cars are located at stations A and B on either side of a city. Some cars are being rented. In total they have 150 cars. At station A, they have 20% of P, 40% of Q and 30% of R which is 46 cars in total. At station B they have 40% of P, 20% of Q and 50% of R which is 54 cars in total. How many of each cars types does Rent-a -car have ?

asked Dec 22, 2016 by priyanka.c

1 answer

Integrate $\begin{align} \int \frac{\sin(x+a)}{\sin (x+b)} dx\end{align} $

asked Dec 22, 2016 by priyanka.c

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Express the matrix $A = \begin{bmatrix} 3 & 2 & 3 \\ 4 & 5 & 3 \\ 2 & 4 & 5 \end{bmatrix}$ as the sum of a symmetric and a skew symmetric matrix.

asked Dec 22, 2016 by priyanka.c

1 answer

Assume that each child born is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that
(a) The youngest is a girl.
(b) At least one is a girl.
Pre-natal * determination is a crime. What will you do if you come to know that some of your known is indulging in pre-natal * determination ?

asked Dec 22, 2016 by priyanka.c

1 answer

Evaluate $\begin{align} \int \limits_{-1}^{3/2} |x \sin {\pi \; x}| dx \end{align}$

asked Dec 21, 2016 by priyanka.c

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Find the condition that the curves $2x= y^2$ and $2xy = k $ intersect orthogonally.

asked Dec 21, 2016 by priyanka.c

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Differentiate $x ^{\sin ^{-1} x}$ w.r.t $\sin^{-1} x$

asked Dec 21, 2016 by priyanka.c

1 answer

For what value of $a$ and $b$ is the function $f(x) = \begin{cases} x^2 ,& x \leq c \\ ax+b , & x> c \end{cases} $ is differentiable at $x=c$

asked Dec 21, 2016 by priyanka.c

1 answer

On the set $R -\{ -1\} $ a binary operation $\ast$ is defined by $a \ast b = a + b + ab$ for all $a,b \in R - \{-1\}$. Prove that $\ast$ is commutative as well as associative on $R -\{-1\}$. Find the identity element on $\ast$ if any.

asked Dec 21, 2016 by priyanka.c

1 answer

Using differentials, find the appropriate value of $[0.009] ^ {\frac{1}{3}}$

asked Dec 20, 2016 by priyanka.c

1 answer

If $\overrightarrow {b} \times \overrightarrow {c} = \overrightarrow {c} \overrightarrow {a} \neq 0$, then $\overrightarrow{a} + \overrightarrow {b} = k \overrightarrow {c}$ where k is any scalar.
Is it true or false .

asked Dec 20, 2016 by priyanka.c

1 answer

From the differential equation of the family of curves $y = A \sin 2x + B \cos 2x$

asked Dec 20, 2016 by priyanka.c

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If $y = 7x -x^3$ and $x$ increases at the rate of 4 units per second. How fast is the slope of the curve changing when $x=2$

asked Dec 20, 2016 by priyanka.c

1 answer

Determine the order and degree in the differential equation. Also state if it is a linear or non linear.
$y +\frac{dy}{dx} = \frac{1}{4} \int y dx $

asked Dec 20, 2016 by priyanka.c

1 answer

Let $\ast \; R \times R \to R$ given by $(a,b) \to a + 4b^2$ is a binary operation, compute $-5 \ast (2 \ast 0).$

asked Dec 20, 2016 by priyanka.c

1 answer

A cooperative society of farmers has 50 hectors of land to grow two crops X and Y. The profit from crops X and Y are estimated on Rs.10,500 and Rs.9000 respectively. To control weeds, a liquid herbicide has to be used crops X and Y at rate of 20 litres and 10 litres per hectors. Further no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximize the total profit of the society ?

asked Dec 12, 2016 by priyanka.c

1 answer

Find the area bounded by the lines. $x +2y = 2, y = x +1$ and $2x +y= 7$

asked Dec 12, 2016 by priyanka.c

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Find absolute maximum and minimum value a function given by $f(x) = 12x^{\frac{4}{3}} - 6x^{\frac{1}{3}} , x \in [-1,1]$

asked Dec 12, 2016 by priyanka.c

1 answer

If $f : R \to R$ be given by $f(x) = (3-x^3)^{\frac{1}{3}}$, then evaluate $f o f(x)$

asked Dec 7, 2016 by priyanka.c

1 answer

Define a binary operation $\ast$ on the set {0, 1, 2, 3, 4, 5} as \[a*b=\left \{ \begin{array} {1 1} a+b, & \quad \text{ if a+b<6} \\ a+b-6, & \quad { if a+b \geq 6} \end{array} \right.\] show that the zero is the identity for this operation and each element $a \neq 0$ of the set is invertible with $6-a$ being the inverse of $a$.

asked Nov 30, 2016 by priyanka.c

1 answer

Let A = {1, 2}. Find the number of possible binary operations defined on A.

asked Nov 23, 2016 by priyanka.c

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If $P(A) = 0.25, P(B) = 0.4 \; and \; P (A \cup B) = 0.5 \; find \; P (A \cap B) \;and \; P (A \cap \bar{B})$

asked Nov 21, 2016 by priyanka.c

1 answer

On Q the set of all rational numbers, a binary operation $\ast$ is defined by $a \ast b=\frac{ab}{5}$ for all $a, b \in Q $. Find the identity element $\ast$ in Q. Also prove that every non-zero element of Q is invertible.

asked Nov 20, 2016 by priyanka.c

1 answer

Show that function $f : R \to R$ given by $f(x) = x^3 + x $ I a bijection.

asked Nov 18, 2016 by priyanka.c

1 answer

If the function $ f: [1, \alpha) \ implies [ 1, \alpha)$ defined by $f(x) = 2^{x(x-1)}$ is invertible, find $f^{-1}(x)$

asked Nov 17, 2016 by priyanka.c

1 answer

Let f : N $\to$ Y be a function defined as $f(x) = 4x + 3f(x)=4x+3$ where $Y = \{ y \in N ; y = 4x + 3Y=\{ y \in N; y= 4x+3$ for some $ x \in N \}x \in N \}$. If 'f' is invertible.

asked Nov 14, 2016 by priyanka.c

1 answer

Prove that $ \cos^{-1}x = 2 \sin^{-1} \sqrt{\frac{1-x}{2}}$

asked Nov 9, 2016 by priyanka.c

0 answers

Why Nitrogen is a gas whereas phosphorous is a solid ?

asked Oct 13, 2016 by meena.p

0 answers