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CBSE XI
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Math
Math
Sets
Relations and Functions
Trigonometric Functions
Principle of Mathematical Induction
Complex Numbers and Quadratic Equations
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Permutations and Combinations
Binomial Theorem
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Introduction to Three Dimensional Geometry
Limits and Derivatives
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Probability
Find the equation of the circle passing through the points $(2,3)$ and $(–1,1)$ and whose centre is on the line $x–3y–11 = 0$.
cbse
class11
ch11
conic-sections
bookproblem
sec-b
medium
exercise11-1
p241
q11
asked
Jul 13, 2014
by
thanvigandhi_1
1
answer
Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16
cbse
class11
ch11
conic-sections
bookproblem
sec-b
medium
exercise11-1
p241
q10
asked
Jul 13, 2014
by
thanvigandhi_1
1
answer
$2x^2 + 2y^2 – x = 0$, find the centre and the radius of the circles.
cbse
class11
ch11
conic-sections
bookproblem
sec-a
easy
exercise11-1
p241
q9
asked
Jul 13, 2014
by
thanvigandhi_1
1
answer
$x^2+y^2–8x+10y–12=0$, find the centre and radius of the circles.
cbse
class11
ch11
conic-sections
bookproblem
sec-a
exercise11-1
p241
q8
asked
Jul 13, 2014
by
thanvigandhi_1
1
answer
$x^2+ y^2– 4x–8y–45=0$ find the centre and radius of the circles.
cbse
class11
ch11
conic-sections
bookproblem
sec-a
medium
exercise11-1
p241
q7
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
$(x+5)^2+(y-3)^2=36$ find the centre and radius of the circles.
cbse
class11
ch11
conic-sections
bookproblem
sec-a
easy
exercise11-1
p241
q6
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
Find the equation of the circle with centre (–a, –b) and radius $ \sqrt{a^2-b^2}$
cbse
class11
ch11
conic-sections
bookproblem
sec-a
easy
exercise11-1
p241
q5
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
Find the equation of the circle with centre (1,1) and radius $ \sqrt 2$
cbse
class11
ch11
conic-sections
bookproblem
sec-a
easy
exercise11-1
p241
q4
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
Find the equation of the circle with centre $ \bigg( \large\frac{1}{2}$$, \large\frac{1}{4} \bigg)$ and radius $ \large\frac{1}{12}$
cbse
class11
ch11
conic-sections
bookproblem
sec-a
medium
exercise11-1
p241
q3
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
Find the equation of the circle with centre (–2,3) and radius 4
cbse
class11
ch11
conic-sections
bookproblem
sec-a
easy
exercise11-1
p241
q2
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
Find the equation of the circle with centre (0,2) and radius 2
cbse
class11
ch11
conic-sections
bookproblem
sec-a
easy
exercise11-1
p241
q1
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.
cbse
class11
ch10
bookproblem
straight-lines
misc
sec-b
medium
q17
asked
Jul 11, 2014
by
thanvigandhi_1
1
answer
Match the question given under Column $C_1$ with their appropriate answer given under the Column $C_2$ for the following : The equation of the line through the intersection of the lines 2x – 3y = 0 and4x – 5y = 2 and
cbse
class11
ch10
straight-lines
exemplar
sec-a
q59
asked
Jul 9, 2014
by
thanvigandhi_1
1
answer
Match the question given under Column $C_1$ with their appropriate answer given under the Column $C_2$ for the following : The value of the $ \lambda$, if the lines $(2x + 3y + 4) +\lambda (6x – y + 12) = 0 $ are
cbse
class11
ch10
straight-lines
exemplar
sec-a
medium
q58
asked
Jul 9, 2014
by
thanvigandhi_1
1
answer
Match the question given under Column $C_1$ with their appropriate answer given under the Column $C_2$ for the following :
cbse
class11
ch10
straight-lines
exemplar
sec-a
q57
asked
Jul 9, 2014
by
thanvigandhi_1
1
answer
State whether the following is true or false and justify : Line joining the points (3, – 4) and (– 2, 6) is perpendicular to the line joining the points (–3, 6) and (9, –18).
cbse
class11
ch10
straight-lines
exemplar
sec-a
medium
q56
asked
Jul 9, 2014
by
thanvigandhi_1
1
answer
State whether the following statement is true or false and justify : The lines $ ax + 2y + 1 = 0, bx + 3y + 1 = 0 $ and $cx + 4y + 1 = 0$ are concurrent if a, b, c are in G.P
cbse
class11
ch10
straight-lines
exemplar
sec-a
easy
q55
asked
Jul 9, 2014
by
thanvigandhi_1
1
answer
Calculate the mean deviation about the mean of the set of first n natural numbers where numbers where n is an even number.
cbse
math
class11
ch15
statistics
exemplar
q50
sec-b
medium
asked
Jul 9, 2014
by
meena.p
1
answer
Match the following :
cbse
math
class11
ch16
probability
exemplar
q43
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
Calculate the mean deviation about the mean of the set of first n natural numbers when n is odd number.
cbse
math
class11
ch15
statistics
exemplar
q49
sec-b
medium
asked
Jul 9, 2014
by
meena.p
1
answer
Match the proposed probability under Column $C_1$ with the appropriate written description under column $C_2$ :
cbse
math
class11
ch16
probability
exemplar
q42
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ________.
cbse
math
class11
ch16
probability
exemplar
q41
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
If A and B are two events associated with a random experiment such that $P(A)=0.3,P(B)=0.2$ and $P(A \cap B)=0.1$ then the value of $P(A \cap \bar{B})$ is _________
cbse
math
class11
ch16
probability
exemplar
q40
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
Find the standard deviation of the first n natural numbers.
cbse
math
class11
ch15
statistics
exemplar
q48
sec-b
medium
asked
Jul 9, 2014
by
meena.p
1
answer
The mean and standard deviation of a set of $n_1$ observations are $\bar{x_1}$ and $s_1$ respectively , while the mean and standard deviation of another set of $n_2$ observations are $x_2$ and $s_2$ respectively. Show that the standard deviation of the combined set of $(n_1+n_2)$ observations is given by $ S.D= \sqrt {\large\frac{n_1 (s_1)^2 +n_2 (s_2)^2}{n_1+n_2} +\frac{n_1n_2(\bar {x_1} -\bar {x_2} )^2}{(n_1+n_2)^2}}$
cbse
math
class11
ch15
statistics
exemplar
q47
sec-c
difficult
asked
Jul 9, 2014
by
meena.p
1
answer
Let S={1,2,3,4,5,6} and E={1,3,5},then $\bar{E}$ is_________.
cbse
math
class11
ch16
probability
exemplar
q39
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
If $e_1,e_2,e_3,e_4$ are the four elementary outcomes in a sample space and $P(e_1) = .1, P(e_2) = .5, P (e_3) = .1$, then the probability of $e_4$ is ______.
cbse
math
class11
ch16
probability
exemplar
q38
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will lose the game is _____________
cbse
math
class11
ch16
probability
exemplar
q37
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The sum of probabilities of two students getting distinction in their final examinations is 1.2
cbse
math
class11
ch16
probability
exemplar
q36
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability of an occurrence of event A is 0.7 and that of the occurrence of event B is 0.3 and the probability of occurrence of both is 0.4.
cbse
math
class11
ch16
probability
exemplar
q35
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability of intersections of two events A and B is always less than or equal to those favorable to the event A.
cbse
math
class11
ch16
probability
bookproblem
exemplar
q34
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : If A and B are two candidates seeking admission in an engineering college.The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3.Is it possible that the probability of B getting selected is 0.7?
cbse
math
class11
ch16
probability
exemplar
q33
sec-b
medium
asked
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probabilities that a typist will make 0,1,2,3,4,5 or more mistakes in typing a report are,respectively,0.12,0.25,0.36,0.14,0.08,0.11
cbse
math
class11
ch16
probability
exemplar
q32
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability that a student will pass his examination is 0.73,the probability of the student getting a compartment is 0.13,and the probability that the student will either pass or get compartment is 0.96.
cbse
math
class11
ch16
probability
exemplar
q31
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
State whether the following statement is true or false and justify : The equation of the line joining the point (3, 5) to the point of intersection of the lines $4x + y – 1 = 0 $ and $7x – 3y – 35 = 0$ is equidistant from the points (0, 0) and (8, 34)
cbse
class11
ch10
straight-lines
exemplar
sec-a
q53
asked
Jul 9, 2014
by
thanvigandhi_1
1
answer
The standard deviation is __________ the mean deviation taken from the arithematic mean
cbse
math
class11
ch15
statistics
exemplar
q46
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
The mean deviation of the data is ________ when measured from the median .
cbse
math
class11
ch15
statistics
exemplar
q45
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
True-or-False : The probability that a person visiting a zoo will see the giraffee is 0.72,the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52.
cbse
math
class11
ch16
probability
exemplar
q30
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
The sum of the squares of the deviations of the values of the variable is _______ when taken about their arithmetic mean.
cbse
math
class11
ch15
statistics
exemplar
q44
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
The standard deviation of data is _______ of any change in origin, but is ____________ on the change of scale.
cbse
math
class11
ch15
statistics
exemplar
q43
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
If M and N are any two events,the probability that at least one of them occurs is
cbse
math
class11
ch16
probability
exemplar
q29
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
If the variance of a data is 121, then the standard deviation of the data is _______
cbse
math
class11
ch15
statistics
exemplar
q42
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
If $\bar {x}$ is the mean of n values of x, then $\sum \limits_{i=1}^{n} (x_i -\bar{x} )$ is always equal to _______. If a has any value other than $\bar {x}$ , then $\sum \limits_{i-1}^{n} (x_i -\bar {x} )^2$ is _________ than $\sum (x_i -a)^2$
cbse
math
class11
ch15
statistics
exemplar
q41
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
The probability that at least one of the events A and B occurs is 0.6.If A and B occur simultaneously with probability 0.2.Then $P(\bar{A})+P(\bar{B})$ is
cbse
math
class11
ch16
probability
exemplar
q28
sec-b
medium
asked
Jul 9, 2014
by
sreemathi.v
1
answer
Coefficient of variation $= \large\frac{----------}{mean} $$\times 100 $
cbse
math
class11
ch15
statistics
exemplar
q40
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3.Then the probability that either A or B fails is
cbse
math
class11
ch16
probability
exemplar
q27
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
A single letter is selected at random from the word PROBABILITY .The probability that it is a vowel is
cbse
math
class11
ch16
probability
exemplar
q26
sec-a
easy
asked
Jul 9, 2014
by
sreemathi.v
1
answer
The standard deviation of some temperature data in $^{\circ} C$ is 5. If the data were converted into $^{\circ} F$ the variance would be
cbse
math
class11
ch15
statistics
exemplar
q39
sec-b
medium
asked
Jul 9, 2014
by
meena.p
1
answer
6 boys and 6 girls sit in a row at random.The probability that all the girls sit together is
cbse
math
class11
ch16
probability
exemplar
q25
sec-b
medium
asked
Jul 9, 2014
by
sreemathi.v
1
answer
If $A\cup B)=P(A \cap B)$ for any two events A and B,then
cbse
math
class11
ch16
probability
exemplar
q24
sec-b
medium
asked
Jul 9, 2014
by
sreemathi.v
1
answer
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