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Recent questions in Class11
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JEEMAIN and NEET
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Mathematics
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Class11
Class11
Sets
Relations and Functions
Trigonometric Functions
Complex Numbers and Quadratic Equations
Permutations and Combinations
Bionomial Theorem and Simple Applications
Sequence and Series
Coordinate Geometry: Straight Lines
Coordinate Geometry: Conic Sections
Coordinate Geometry
3-D Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
What is the truth value of "4 is even and 8 is odd."?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q11
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
The statement $ "x \gt 5\: or\: x \lt 3"$ is true if x equals
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q10
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
When Y = 3, which of the following is FALSE?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q9
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Sum of squares of first n natural numbers exceeds their sum by 330, then n =
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q84
asked
Jan 17, 2014
by
yamini.v
1
answer
If a, b and c are in H.P, then a/(b+c), b/(c+a), c/(a+b) are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q83
asked
Jan 17, 2014
by
yamini.v
1
answer
If arithmetic, geometric and harmonic means between two positive real numbers is A, G and H respectively, then, which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q82
asked
Jan 17, 2014
by
yamini.v
1
answer
If Shelly does not like John, what is the truth value of the statement "Shelly likes Mike and she likes John."?
jeemain
math
mathematical-reasoning
class11
ch14
easy
logical-operations-(and-or)
q8
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following is the converse of the statement: $"If x>4$, then $x+2>5"$?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q7
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following statements is true?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q6
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
In which of the following statements is the $"\text{or}"$ inclusive?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q5
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement - All triangles are not Equilateral triangles.
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q4
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement- “Chennai is the capital of Tamil Nadu”.
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q3
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
The sum of n terms of the infinite series $1.3^2$+$2.5^2$+$3.7^2$+-------$\infty$ is given by
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q81
asked
Jan 17, 2014
by
yamini.v
1
answer
Which of the following sentences is a statement?
jeemain
math
class11
mathematical-reasoning
ch14
easy
statements
q2
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following sentences is a statement ?
jeemain
math
class11
mathematical-reasoning
ch14
easy
statements
q1
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
If $A(4,7,8),\:B(2,3,4),\:C(2,5,7)$ are vertices of a triangle then the length of internal bisector of angle $A$ is ?
jeemain
math
class11
ch12
3d-geometry
easy
distance-between-two-points
q98
mock
asked
Jan 12, 2014
by
rvidyagovindarajan_1
1
answer
Find the angle between any two diagonals of a cube.
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q97
asked
Jan 12, 2014
by
rvidyagovindarajan_1
1
answer
The cosine of angle between the medians drawn from vertices of isosceles rt. angled triangle is?
jeemain
math
class12
ch12
3d-geometry
direction cosines
easy
q96
asked
Jan 12, 2014
by
rvidyagovindarajan_1
1
answer
If from a point $P(a,b,c)$ perpendiculars $PA,\:PB,\:$ are drawn on $yz\:\:and\:\:zx$ planes. then the equation of the plane $OAB$ is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q95
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
If the vertices of a triangle are $A(1,4,2),\:B(-2,1,2)\:C(2,-3,4)$ then the angle $B$ = ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q94
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
The projection of a line segment on $x,y,z$ axes are $12,\:4,\:3$ respectively, then the length of the line segment is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q93
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
The locus of a point $(x,y,z)$ for which $z=k$ is a ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
easy
q92
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
The points $(5,0,2),\:(2,-6,0),\:(4,-9,6)\:and\:(7,-3,8)$ represent vertices of a ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q91
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
A line segment of length $21$ has $d.r.=(2,-3,6)$ and makes obtuse angle with $x\:axis$, then the components of the line segment (vector) are?
jeemain
math
class11
ch12
3d-geometry
coordinates-of-a-point-in-space
easy
q90
asked
Jan 10, 2014
by
rvidyagovindarajan_1
1
answer
If $P(2,3,4)\;and\:Q(1,b,1)$ are two points and $O$ is origin such that $OP$ is $\perp$ to $OQ$, then $b=?$
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q89
asked
Jan 10, 2014
by
rvidyagovindarajan_1
1
answer
The point which divides the line joining the points $(2,4,5)\:\:and\:\:(3,5,-4)$ in the ratio $2:3$ externaly lies on the plane?
jeemain
math
class11
ch12
3d-geometry
section formula
easy
q88
asked
Jan 10, 2014
by
rvidyagovindarajan_1
1
answer
If the plane $x-2y+3z=0$ is rotated through a right angle about its line of intersection with the plane $2x+3y-4z-5=0$, then the eqn. of the plane in its new position is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q87
asked
Jan 9, 2014
by
rvidyagovindarajan_1
1
answer
The angle between the lines $x=1,\:y=2$ and $y=-1,\:z=0$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q86
asked
Jan 9, 2014
by
rvidyagovindarajan_1
1
answer
The angle between the line formed by $3x-7y-5z=1$ and $8x-11y+2z=0$ and the line formed by $5x-13y+3z+2=0$ and $8x-11y+2z=0$
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q85
asked
Jan 9, 2014
by
rvidyagovindarajan_1
1
answer
Equation of the line through the point $(2,-1,-1)$, which is parallel to the plane $4x+y+z+2=0$ ans is $\perp$ to the line $x=\large\frac{y}{-2}=$$z-5$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q84
asked
Jan 8, 2014
by
rvidyagovindarajan_1
1
answer
The equation of projection of the line $\large\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{3}$ on the plane $x+y+z=1$ is given by ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
difficult
q83
asked
Jan 8, 2014
by
rvidyagovindarajan_1
1
answer
The direction cosine of a line which is $\perp$ to two perpendicular lines whose direction cosines are $(l_1,m_1,n_1)\:\:and\:\:(l_2,m_2,n_2)$ is ?
jeemain
math
class12
ch11
3d-geometry
direction cosines
easy
q82
asked
Jan 8, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane that meets the coordinate axes at the points $A,B,C$ respectively and the centroid of the $\Delta\:ABC$ is $(2,1,5)$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
medium
q81
asked
Jan 7, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane which makes double the intercepts of the plane $3x+6y-z+12=0$ is ?
jeemain
math
class12
3d-geometry
easy
equations-of-planes
q80
ch11
asked
Jan 7, 2014
by
rvidyagovindarajan_1
1
answer
A line makes angle $\theta$ with both $x\:axis$ and $z\:axis$. If it makes angle $\alpha$ with $y\:axis$ and $\sin^2\alpha=2 \sin^2\theta$ then $\cot^2\theta=?$
jeemain
math
class11
ch12
3d-geometry
coordinates-of-a-point-in-space
medium
q79
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
A tetrahedron has vertices $O(0,0,0),\:A(1,2,1)\:B(2,1,3)\:C(-1,1,2)$. The angle between the faces $OAB$ and $ABC$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinates-of-a-point-in-space
easy
q78
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
The value of $k$ for which the line $\overrightarrow r=(4\hat i+2\hat j-\hat k)+\lambda(\hat i-k\hat j+2\hat k)$ lies on the plane $2x-4y+z=3$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
medium
q77
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
The value of $k$ for which the line $\large\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ to lie on the plane $2x-4y+3z=6$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q76
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
A line with direction ratio $(2,1,2)$ meets the lines $x=y+a=z\:\;and\:\:x+a=2y=2z$. The coordinates of the points of intersections are ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
easy
q75
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
A variable plane is at a distance $k$ from origin and meets the coordinate axes at the points $A,B,C$ respectively. then the locus of centroid of the $\Delta\:ABC$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
medium
q74
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
Ram shares a photo link on facebook with 3 persons and requests each of them to share with 3 more persons and continue the chain. For every share of the photo link if Rs 100 is donated to the Adyar Cancer society, what is the total amount collected by the society till the $b^{th}$ set of shares.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q80
asked
Jan 6, 2014
by
yamini.v
1
answer
The equation of the plane passing through the point $(1,1,1)$ and having direction ratios $b,c,a$ $(a < b < c)$, where $a,b,c$ are prime factors of $2001$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q73
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
Given $4$ numbers, the first $3$ numbers are in $AP$ and the last $3$ numbers are in $GP$. The $1^{st}$ and $3^{rd}$ terms add upto $2$ and the $2^{nd}$ and $4^{th}$ terms add to $17$. Find the numbers.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q79
asked
Jan 6, 2014
by
yamini.v
1
answer
If $P(0,1,0)\:and\:Q(0,0,1)$ are two points in space, then the projection of $PQ$ on the plane $x+y+z=3$ is ?
jeemain
math
class11
ch11
3d-geometry
coordinate-axes-and-planes
easy
q72
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
If $a, b, c$ are in $AP, a, x, b$ and $b, y, c$ in $GP$, what is the progression type for $x^2,b^2,y^2$?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q78
asked
Jan 6, 2014
by
yamini.v
1
answer
Find the sum of the series upto 20 term 1+(1+2)+(1+2+3)+--------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q77
asked
Jan 6, 2014
by
yamini.v
1
answer
Find the sum of 8 terms of the series whose $n^{th}$ term is given by $n^2+2^n$
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q76
asked
Jan 6, 2014
by
yamini.v
1
answer
For what value of n , the $n^{th}$ term of the GPs 2560,1280,640 ----- and 10,20,40 ------ are equal.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q75
asked
Jan 6, 2014
by
yamini.v
1
answer
The first term of a $GP$ is $4$ and the sum of its $3^{rd}$ and $5^{th}$ terms is $360$. Find the common ratio.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q74
asked
Jan 6, 2014
by
yamini.v
1
answer
Find three numbers in AP whose sum is 33 and the sum of whose squares is 395
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q73
asked
Jan 6, 2014
by
yamini.v
1
answer
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