Recent questions tagged sec1

The relation $R$ in the set $A$ of points in a plane given by $R = \{(P, Q)$ : distance of the point $P$ from the origin is same as the distance of the point $Q$ from the origin $\}$, is a) Reflexive only b) Symmetry C) both reflexive and symmetry but not transitive d) Is an equivalence relation. Also show that the set of all points related to a point Pis not equal to (0,0) is the circle passing through P with origin as centre.

asked Jun 12, 2014 by balaji.thirumalai

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$ \text{If } \begin{vmatrix} 2 x&5 \\ 8&x \end{vmatrix} = \begin{vmatrix} 4&5 \\ 8&3 \end{vmatrix},then\; x\; is\; equal\; to$

asked Jan 31, 2014 by rvidyagovindarajan_1

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Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

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Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

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Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

For what value of $ \lambda $ is the function defined by $f$ defined by $ f(x) = \left\{ \begin{array} {1 1} \lambda(x^2 - 2x) ,& \quad\text{ if $ x $ $\leq 0$}\\ 4x + 1,& \quad \text{if $x$ > 0}\\ \end{array} \right.$ What about continuity at $ x = 1$?

asked Aug 19, 2013 by sreemathi.v

1 answer

The length $x$ of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When $x = 8$ cm and $y = 6$ cm, find the rates of change of (b) the area of the triangle.

asked Jul 5, 2013 by sreemathi.v

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Find the rate of change of the area of a circle with respect to its radius r when $(b)\; r = 4 cm$

asked Jul 5, 2013 by sreemathi.v

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If P(A) = $\large \frac{1}{2}$ and P(B) = 0, then P$\large(\frac{A}{B})$ is?

asked Jun 18, 2013 by balaji.thirumalai

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A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate $ P \large ( \large \frac{ E \cup F}{G})$ and $ P \large ( \large \frac{ E \cap F}{G})$

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate P(E/G) and P(G/E).

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Find P(E|F) and P (F|E),

asked Jun 18, 2013 by balaji.thirumalai

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A black and a red dice are rolled. Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when Two coins are tossed once, where E : no tail appears, F : no head appears

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : at most two tails , F : at least one tail

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : at least two heads , F : at most two heads

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : head on third toss , F : heads on first two tosses

asked Jun 18, 2013 by balaji.thirumalai

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Discuss the continuity of the following functions $(c)\;f(x)=\sin x.\cos x$

asked May 28, 2013 by sreemathi.v

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Discuss the continuity of the following functions $(b)\;f(x)=\sin x-\cos x$

asked May 28, 2013 by sreemathi.v

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Discuss the continuity of the following functions $(a)\;f(x)=\sin x+\cos x$

asked May 28, 2013 by sreemathi.v

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Answer the following as true or false. (iv) Two collinear vectors having same magnitude are equal.

asked May 16, 2013 by sreemathi.v

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Answer the following as true or false. (iii) Two vectors having same magnitude are collinear.

asked May 16, 2013 by sreemathi.v

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Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.

asked May 16, 2013 by sreemathi.v

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Classify the following as scalar and vector quantities. $ (v)\;$work done

asked May 16, 2013 by sreemathi.v

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Classify the following as scalar and vector quantities. $ (iv)\; $velocity.

asked May 16, 2013 by sreemathi.v

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Classify the following as scalar and vector quantities. $ (iii)\; $force.

asked May 16, 2013 by sreemathi.v

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Classify the following as scalar and vector quantities. $ $distance.

asked May 16, 2013 by sreemathi.v

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Classify the following measures as scalars and vectors. $20m/s^2$

asked May 16, 2013 by sreemathi.v

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Classify the following measures as scalars and vectors. $10^{-19}$coulomb

asked May 16, 2013 by sreemathi.v

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Classify the following measures as scalars and vectors. $40$watt

asked May 16, 2013 by sreemathi.v

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Classify the following measures as scalars and vectors. $40^\circ$

asked May 16, 2013 by sreemathi.v

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Classify the following measures as scalars and vectors. $2$ meters north-west

asked May 16, 2013 by sreemathi.v

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Is the function $f (x) = 5x – 3$ continuous at $x=5$?

asked Apr 4, 2013 by balaji.thirumalai

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Is the function $f (x) = 5x – 3$ continuous at $x=-3$

asked Apr 4, 2013 by balaji.thirumalai

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Is the function $f(x) = 5x-3$ continous at $x=0$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer