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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
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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
The number of common tangent to the circle $x^2+y^2=4$ and $x^2+y^2-6x-8y=24$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The circle passing through the point $(-1,0)$ and touching the y-axis at $(0,2)$ also passes through the point .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The center of circle inscribed in square formed by the lines $x^2-8x+12=0$ and $y^2-14\;y+45=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the tangent at the point P on the circle $x^2+y^2+6x=2$ meets a straight line $5x-2y+6=0$ at a point Q on the y-axis , then the length of $PQ$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Find the point of intersection of the line $4x-3y-10=b$ and circle $x^2+y^2-2x+4y-20=0$
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
There are 10 points in a plane out of these 6 are collinear. If N is the number of triangle formed by joining these points. Then
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The line $p(p^2+1)x-y+q=0$ and $ (p^2+1)^2x +(p^2+1)y+2q=0$ are perpendicular to a common line for
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The shortest distance between the line $y-x=1$ and the curve $x=y^2$ is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The perpendicular bisector of the line segment joining $P(1,4)$ and $Q(K,3)$ has y-intercept $-4$, Then a possible value of $k$ is
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
A straight line through the point $A(3,4)$ is such that its intercept between the axis is bisected at A. Its equation is
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If one of the lines given by $6x^2-xy+4cy^2=0$ is $3x+4y=0$ then c equals
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the sum of the slopes of the lines given by $x^2-2cxy-7y^2=0$ is four times their product c has the value.
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Let $A(2,3)$ and $B(-2,3)$ be vertices of a triangle ABC. If the centriod of this triangle moves on the line $2x+3y=1$ then the locus of the vertex C is the line .
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Locus of centriod of the triangle whose vertices are $(a \cos t, a \sin t),(b \sin t,-b \cos t)$ and $(1,0)$ where t is a parameter is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the pair of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair then,
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The pair of lines represented by $3ax^2+5xy+(a^2-2)y^2=0$ are perpendicular to each other for
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the pair of lines $ax^2+2hxy +by^2+2gx+ 2fy+c=0$ intersect on the y-axis then
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
A triangle with vertices $(4,0),(-1,-1),(3,5)$ is
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
If a,b and c are in A.P thin the straight line $ax+by+c=0$ will always pass through line $ax+by+c=0$ will always pass through a fixed point whose coordinates are
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
Given the points $A(0,4)$ and $B(0,-4)$ the equation of the locus of the point $P(x,y)$ such that $|AP-BP|=6$ is
jeemain
math
class11
coordinate-geometry-straight-lines
equations-of-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The set of lines $ax+by+c=0$ where $3a+2b+4c=0$ is concurrent at the point.
jeemain
math
class11
coordinate-geometry-straight-lines
distance-of-a-point-from-a-line
ch10
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The area enclosed within the curve $|x|+|y|=1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If $z$ is a complex number such that $\left|\; z \;\right| \geq 2$ then the minimum value of $\large\left|\normalsize z \normalsize + \large\frac{1}{2} \right |$
jeemain
math
complex-numbers-and-quadratic-equations
jeemain-2014
q41
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
The statement $\sim(p \leftrightarrow \sim q)$ is
jeemain
math
class11
ch14
mathematical-reasoning
jeemain-2014
implications-(tautology-contradiction.)
q38
asked
Apr 6, 2014
by
balaji.thirumalai
1
answer
A bird is sitting on top of a vertical pole 20m high and its elevation from point O on the ground is 45 $^{\circ}$. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30$^{\circ}$. Then the speed in m/s of the bird is?
jeemain
math
class11
coordinate-geometry-conic -sections
circles
jeemain-2014
q36
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
The variance of the first 50 even natural numbers is:
jeemain
math
statistics-and-probability
jeemain-2014
q35
statistics
asked
Apr 6, 2014
by
balaji.thirumalai
1
answer
If the coefficients of $x^3$ and $x^5$ in the expansion of $(1+ax+bx^2)(1-2x)^{18}$ in powers of $x$ are both zero, then $(a,b)$ is equal to:
jeemain
math
complex-numbers-and-quadratic-equations
jeemain-2014
q32
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
The image of the line $\large\frac{x-1}{3}$ $ = $$\large\frac{y-3}{1}$$=$ $\large\frac{z-4}{-5}$ in the place $2x-y+z+3=0$ is the line:
jeemain
math
coordinate-geometry
jeemain-2014
q31
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
A local TV company produced a batch of 100 TVs. Four of the TVs are defective. What is the probability a customer randomly selects three good TVs ?
jeemain
math
cbse
class11
probability
easy
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
There are 10 cinema tickets with seat number from 1 to 10 in a row. Ram and Shyam are friends and they do not want to be apart. If they are asked to randomly pick up their tickets, what is the probability for Ram and Shyam to sit next to each other?
jeemain
math
class11
probability
easy
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
What is the probability that a leap year chosen at random will have 53 Sundays?
jeemain
math
class11
probability
easy
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the angle of intersection of two circles?
cl27555
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q154
difficult
asked
Mar 27, 2014
by
balaji.thirumalai
1
answer
For two variables $x$ and $y$ with the same mean the two regression lines are $x+2y-5=0$ $ 2x+3y-8=0$ and variance $(x)=12$ Then $ \sigma_y$ is
cl25510
jeemain
math
cbse
class11
statistics
variance-and-standard-deviation
difficult
q29
asked
Mar 26, 2014
by
balaji
1
answer
Find the equation of normal in slope form for the hyperbola?
cl27395
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q123
difficult
asked
Mar 26, 2014
by
balaji.thirumalai
1
answer
The radius of general equation of circle is
cl27413
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q126
medium
asked
Mar 25, 2014
by
balaji.thirumalai
1
answer
Find the centre and radius of the circle $2x^2+2y^2-8x-7y=0$
jeemain
math
coordinate-geometry-conic -sections
circle
ch11
easy
asked
Mar 21, 2014
by
balaji.thirumalai
1
answer
Find the equation of the tangent at the point $(0,2)$ to the circle $x^2+y^2-4x+2y-8 = 0$
jeemain
math
coordinate-geometry-conic -sections
circle
ch11
easy
asked
Mar 21, 2014
by
balaji.thirumalai
1
answer
Statement-1: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a fallacy, and Statement-2 : $(p \rightarrow q) \leftrightarrow (\sim q \rightarrow \sim p)$ is a tautology. Given these two statements, which of the following is true?
jeemain
math
class11
ch14
mathematical-reasoning
implications-(tautology-contradiction.)
medium
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Which of the following is a logical statement?
jeemain
math
class11
ch14
mathematical-reasoning
logical-operations-(and-or)
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Consider this statement "If the bank was robbed then I will not have any money".
jeemain
math
class11
ch14
mathematical-reasoning
statements
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
If the following statements are true: $ ~r$, $p \rightarrow q$ and $q \rightarrow r$, then:
jeemain
math
class11
ch14
mathematical-reasoning
statements
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Let $S$ be a non empty subset of $R$. Consider the following statement: $P$: There is a rational number $x \in S$ such that $x\gt 0$. Then, which of the following statements is the negation of statement $P$:
jeemain
math
class11
ch14
mathematical-reasoning
statements
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Which of the following are tautologies and which are contradictions?
jeemain
math
class11
ch14
mathematical-reasoning
implications-(tautology-contradiction.)
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Choose the correct answer. The statement $p \rightarrow (q \rightarrow p)$ is equivalent to which of the following?
jeemain
math
class11
mathematical-reasoning
ch14
implications-(tautology-contradiction.)
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
The proposition $(P \vee Q) \vee (\sim P \wedge \sim Q)$ is a:
jeemain
math
class11
mathematical-reasoning
ch14
implications-(tautology-contradiction.)
medium
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
For what relation will the circle touch each other $S_1=x^2+y^2+2gx+2fy=0$ and $S_2=x^2+y^2+2g'x+2f'y=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q156
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the relation so that the two circles $x^2+y^2+2gx+2fy+c=0$ and $x^2+y^2+2g_1x+2f_1+c_1=0$cut each other orthogonally.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q155
easy
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the angle of intersection of two circles?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q154
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the equation of circle passing through (1,1) and the point of intersection of the circles $x^2+y^2+10x-y=0$ and $2x^2+2y^2+2x-5y-23=0$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q153
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the length of common chord of the two circles $(x-p)^2+(y-q)^2=c^2$ and $(x-q)^2+(y-p)^2=c^2$.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q152
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
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