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Questions >> JEEMAIN and NEET >> Mathematics >> Class11

Class11

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

Limits and Derivatives

Mathematical Reasoning

If the numbers $\;1,x^2,6-x^2\;$ are in GP , then value of $x$ is :

asked Jan 21, 2014 by yamini.v

1 answer

If 20 is divided into four parts which are in AP such that ratio of product of first and fourth part and product of second and third part is 2:3, then the largest part is

asked Jan 21, 2014 by yamini.v

1 answer

$\displaystyle\sum_{r=1}^{n}\;\frac{r}{(r+1)!}=$

asked Jan 21, 2014 by yamini.v

1 answer

Sum of $\;\frac{1}{1.2.3.4}+\frac{1}{2.3.4.5}+\frac{1}{3.4.5.6}+\;.....\;upto\;\infty\;is$

asked Jan 21, 2014 by yamini.v

1 answer

If $j,k,l$ are in AP $p,q,r$ in HP and $jp,kq,lr$ in $GP$ , then $\;\frac{p}{r}+\frac{r}{p}\;is\;equal\;to:$

asked Jan 21, 2014 by yamini.v

1 answer

Let $\;a_{r}=\int\limits_{0}^{\frac{\pi}{4}}\;tan^{r}\;x\;dx$ , then $\;a_{1}+a_{3}\;,a_{2}+a_{4}\;,a_{3}+a_{5}\;$ are in

asked Jan 21, 2014 by yamini.v

1 answer

$(1-2y)\;(1+3x+9x^2+27x^3+81x^4+243x^5+729x^6)$ = $(1-64y^6)$ , $(y\;\neq\;1)$ , then $\frac{x}{y}$ is

asked Jan 21, 2014 by yamini.v

1 answer

Let $a_{1}+a_{2}+a_{3}+\;......$ be terms of an AP. If $\;\frac{S_{p}}{S_{q}}=\frac{p^2}{q^2}\;then\;\frac{a_{7}}{a_{14}} =$

asked Jan 21, 2014 by yamini.v

1 answer

If $l,m,n$ are $\;x^{th}\;,y^{th}\;and\;z^{th}$ term of a GP then , $\begin{vmatrix}\log l& x & 1\\\log m &y &1\\\log n &z &1\end{vmatrix}=$

asked Jan 21, 2014 by yamini.v

1 answer

If first and last term of an AP are $a$ & $l$ and sum of all terms is $s$ , then common difference is

asked Jan 21, 2014 by yamini.v

1 answer

Sum of $n$ terms of AP is $6n^2+5n$ while $a_{m}=164$ , the value of $m$ is

asked Jan 21, 2014 by yamini.v

1 answer

Let $S=\frac{3}{19}+\frac{33}{(19)^2}+\frac{333}{(19)^3}+$ ...... $\infty$ . Find $S$ .

asked Jan 21, 2014 by yamini.v

1 answer

Harmonic mean of roots of equation $(5+\sqrt{2})\;x^2$ - $(4+\sqrt{2})\;x$ + $8$ + $2\;\sqrt{2}$ will be

asked Jan 21, 2014 by yamini.v

1 answer

Natural numbers are divided into groups $\;(1)\;,\;(2,3,4)\;,\;(5,6,7,8,9)\;.....$ Sum of first and last term of $n^{th}\;$ group will be :

asked Jan 21, 2014 by yamini.v

1 answer

If in an AP $m$ times $\;m^{th}\;$ term equals $n$ times $\;n^{th}$ term , then $\;(m+n)^{th}$ term will be

asked Jan 21, 2014 by yamini.v

1 answer

Let $a_{n}\;$ be $\;n^{th}$ term of AP. If $\;\displaystyle\sum_{r=1}^{50}\;a_{2r}=p\;and \;\displaystyle\sum_{r=1}^{50}\;a_{2r-1}=q\;$ the common difference is :

asked Jan 21, 2014 by yamini.v

1 answer

What is the converse of the statement: n is divisible by 3, if the sum of digits of n is divisible by 3?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the contrapositive of the statement: If $f(2)=0$ , then $f(x)$ is divisible by $(x-2)$ ?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the converse of the statement: If $x-4 = 5$ , then $x=9$ ?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the contradiction of the statement: In $\Delta ABC,\: if\: AB=AC$ , then angles $C=B$ ?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement, Rashmi is tall, and therefore, she is slim?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement, If it rains, the humidity increases?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Indicate the Premise2 in the following Premise1: All integers less than zero are negativenumbers. Conclusion : y is a negative number.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which is a false statement?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which of the following is a true statement?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which counter example cannot be used to show that the statement, if n is an odd integer then n is prime is false?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which of the following statements do not convey the same meaning as, If a natural number is even then its square is also even?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If $\;x=\sqrt{2+\sqrt{2+\sqrt{2+------\;\infty}}}\;and\;y=\sqrt{2\;\sqrt{2\;\sqrt{2\;\sqrt{2\;----\;\infty}}}}$ then $xy$ equals

asked Jan 20, 2014 by yamini.v

1 answer

Which of the following statements do not convey the same meaning as, If a triangle is equiangular then it is an obtuse angled triangle.?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Sum of series $\;S=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\;....\;+\frac{1}{100\sqrt{99}+99\sqrt{100}} \;is$

asked Jan 20, 2014 by yamini.v

1 answer

Identify the contrapositive of the statement, If 2 is the only even prime number then 6 is divisible by 3.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the contrapositive of the statement, If 2 lines are intersecting then they are not parallel.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the converse of the statement: If x is a prime number then x is even.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the converse of the statement: If a parallelogram is a square then it is a rhombus?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which statement represents the inverse of the statement "If it is snowing, then Skeeter wears a sweater."?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If $1^4+2^4+3^4+.....n^4$ = $an^5+bn^4+cn^3+dn^2+en+f$ , find $a$

asked Jan 20, 2014 by yamini.v

1 answer

The statement: 5 divides 20 if 5 divides -20, in if-then form would be

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Sum of series $(n)(n)$ + $(n-1)(n+1)$ + $(n-2)(n+2)$ +....+ $1\;(2n-1)$ is

asked Jan 20, 2014 by yamini.v

1 answer

The statement: 24 is divisible by 6 if 25 is a multiple of 5, in if-then form would be

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The statement: A rectangle is a square if all the 4 sides are equal, in if-then form would be

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of: For every real number $x ,x \gt x+2$ ?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

In which of the following statements is the OR inclusive?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

In which statement is the OR exclusive?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Sum of series $\;\sum_{r=1}^{n}\;r\;log\;\frac{r+1}{r}$ is :

asked Jan 20, 2014 by yamini.v

1 answer

If $t$ and $c$ denote a tautology and a contradiction respectively, then for any statement $p, p \wedge t$ is equal to

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If p : Nidhi is a girl and q : Anurag is a boy, then the statement: Nidhi is a girl and Anurag is a boy, is written in symbols as

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of: Ram is in class X or Rashmi is in class XII?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

"If Deb and Sam go to the mall, then it is snowing." Which statement below is logically equivalent?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If $a_{1},a_{2},...a_{n}$ are in HP. , Then $\;a_{1}a_{2}+a_{2}a_{3}+.....+a_{n}\;a_{n-1}$ is equal to

asked Jan 20, 2014 by yamini.v

1 answer

If Susan does not like spinach, what is the truth value of the statement "Susan likes ice cream and she like spinach."?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

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