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Recent questions in CBSE XI
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CBSE XI
CBSE XI
Math
Physics
Chemistry
Biology
Expand the expression: $\large(\frac{x}{3} + \frac{1}{x})$$^5$
cl37493
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q4
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(2x-3)^6$
cl37493
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q3
easy
sec-a
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $\large(\frac{2}{x} - \frac{x}{2})$$^5$
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q2
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Expand the expression: $(1-2x)^5$
easy
sec-a
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q1
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the derivative of the given function $ \sin x \: \cos x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q11-(i)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Express the given complex number in the form $\;a+ib : (-2-\large\frac{1}{3} \normalsize i)^{3}$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 9, 2014
by
yamini.v
1
answer
Find the derivative of $ \cos\: x$ from first principle.
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q10
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Express the complex number given below in the form $a+ib$: $(5i)\;(-\large\frac{3}{5}$$i)$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
sec3
q1
exercise5-1
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Which of the following are tangents to the circle $x^2+y^2-4x+8y+12=0$ from $(5-3)$?
cl37474
cbse
class11
math
conic-sections
circle
additionalproblem
sec-c
easy
ch11
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Express the given complex number in the form $\;a+ib : (\large\frac{1}{3}$$+3i)^{3}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 9, 2014
by
yamini.v
1
answer
Which of the following are tangents to the circle $x^2+y^2-6x-2y-15=0$ which are parallel to the line $3x+4y+20=0$?
cbse
class11
math
conic-sections
circle
additionalproblem
sec-b
easy
ch11
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Express the given complex number in the form $\;a+ib : (1-i)^{4}$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the given complex number in the form $\;a+ib :\;[( \normalsize \large\frac{1}{3} +\normalsize i \normalsize \large\frac{7}{3}) + (\normalsize 4 + \normalsize i \normalsize \large\frac{1}{3})-( \normalsize -\large\frac{4}{3}+ \normalsize i)]$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Given the circle $x^2+y^2+2x-4y+1=0$, find the length of a tangent from the point $(3,0)$ to the circle.
cl37466
cbse
class11
math
conic-sections
circle
additionalproblem
sec-b
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Given the circle $x^2+y^2-4x+6y-12=0$, find the tangent at the point $(5,-7)$ on the circle.
cbse
class11
math
conic-sections
circle
additionalproblem
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Express the complex number $(\large\frac{1}{5} + i\large\frac{2}{5})-(4 + i (\large\frac{5}{2}))$ in the form $a+ib$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
A circle of radius $\sqrt 20$ has the point $(-1,3)$. Its centre is on the line $x=-y$. Which of the following equations satisfies these conditions?
cbse
class11
math
conic-sections
circle
additionalproblem
sec-c
easy
ch11
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Express the complex number $(1-i)-(-1+6i)$ in the form $a+ib$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $3(7+i7) + i(7 + i7)$ in the form $a+ib$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $i^{-39}$ in the form $a+ib$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $i^{9}+i^{19}$ in the form $a+bi$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Find the derivative of $\large\frac{2}{x+1}$$ - \large\frac{x^2}{3x-1}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q9-(vi)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
If the lines $3x – 4y + 4 = 0$ and $6x – 8y – 7 = 0$ are tangents to a circle, then find the radius of the circle
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q5
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle which touches $x$-axis and whose centre is $(1, 2)$
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
If a circle passes through the point (0, 0) (a, 0), (0, b) then find the coordinates of its centre.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the derivative of $x^{-4}(3-4x^{-5})$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q9-(v)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
A person writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with the instruction that they move the chain similarly. Assuming that the chain is not broken, and that it costs 50 paise to mail one letter, find the amount spent on the postage when $8^{th}$ set of letter is mailed.
cbse
class11
ch9
misc
bookproblem
sec-b
easy
q29
sequences-and-series
math
asked
Apr 9, 2014
by
rvidyagovindarajan_1
1
answer
For any complex number z,the minimum value of $\mid z\mid+\mid z-2i\mid $ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Find the derivative of $ x^5(3-6x^{-9})$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q9-(iv)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Given,$3^{49}(x+iy)=(\large\frac{3}{2}+\frac{\sqrt 3}{2})^{100}$$\quad y\in N$ and $x=ky$,then value of k is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Find the equation of the circle which touches the both axes in first quadrant and whose radius is $a$?
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the derivative of $ x^{-3}(5+3x)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q9-(iii)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Find the derivative of $(5x^3+3x-1)(x-1)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q9-(ii)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Find the derivative of $ 2x-\large\frac{3}{4}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q9-(i)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Shamshad Ali buys a scooter for Rs. 22,000. He pays Rs. 4,000 cash and agrees to pay the balance in annual installment of Rs. 1,000 plus 10% interest on the unpaid amount. How much will the scooter costs him?
cbse
class11
ch9
bookproblem
easy
sec-c
misc
q28
math
sequences-and-series
asked
Apr 9, 2014
by
rvidyagovindarajan_1
1
answer
Find the derivative of $ \large\frac{x^n-a^n}{x-a}$ for some constant $a$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q8
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
For some constants $a$ and $b$, find the derivative of \[\] $ \large\frac{(x-a)}{(x-b)}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q7-(iii)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
For some constants $a$ and $b$, find the derivative of \[\] $ (ax^2+b)^2$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q7-(ii)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
For some constants $a$ and $b$, find the derivative of \[\] $ (x-a)(x-b)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q7-(i)
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
Find the derivatives of $x^n+ax^{n-1}+a^2x^{n-2}+...+a^{n-1}x+a^n$ for some fixed real number $a$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q6
asked
Apr 9, 2014
by
thanvigandhi_1
1
answer
A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6,000 cash and agrees to pay the balance in annual installments of Rs. 500 plus 12% interest on the unpaid amount. How much will the tractor cost him?
cbse
class11
ch9
bookproblem
misc
easy
sec-b
q27
math
sequences-and-series
asked
Apr 8, 2014
by
rvidyagovindarajan_1
1
answer
Given that the furthest the earth gets from the sun is approximately 94.56 million miles, and the eccentricity of earth's orbit is approximately 0.017, what is the closest approach of the earth to the sun.
conic-sections
cbse
math
class11
ellipse
additionalproblem
sec-a
medium
ch11
jeemain
unit11
coordinate-geometry
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
A satellite dish has a diameter of 8 feet. The depth of the dish is 1 foot at the center of the dish. Where should the receiver be placed?
conic-sections
cbse
math
class11
parabola
additionalproblem
sec-a
medium
ch11
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
An equilateral triangle is inscribed in the parabola $y^2 = 4 ax$, where one vertex isat the vertex of the parabola. Find the length of the side of the triangle.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q8
sec-b
medium
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q7
sec-a
easy
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the area of a triangle formed by the lines joining the vertex of the parabola $x^2 = 12y$ to the ends of its latus rectum.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q6
sec-b
easy
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
A rod of length 12cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3cm from the end in contact with the x-axis.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-b
easy
q5
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
An arch is in the form of a semi ellipse. It is 8m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-b
q4
medium
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-b
medium
q3
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-a
medium
q2
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
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