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Class 11 Math Questions asked by Filo students

Views: 5,040

Example 1: The value of

1. \overline{285714} \div 1. \overline{714285} =

$\frac{3}{4}$
$\frac{7}{8}$
$\frac{7}{12}$
$\frac{3}{7}$

Topic:

Number Systems

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Views: 5,407

M (x_{1}, x_{2}, x_{3} \dots\dots\dots ... x_{n})

lefines a measure of central tendency based or

/ n

x_{1}, x_{2}, x_{3}, \dots\dots\dots x_{n}

consider the following measured of central tendency. (1) Arithmetic mean (2) Median (3) Geometric mean which of the above measure satisfie/satisfies the property

\frac{M ( x _{1} , x _{2} , x _{3} \dots\dots\dots .. x _{n} )}{M ( y _{1} , y _{2} , y _{3} \dots\dots\dots .. y _{n} )} = M . (\frac{x _{1}}{y _{1}}, \frac{x _{2}}{y _{2}}, \frac{x _{3}}{y _{3}}, \dots\dots ., \frac{x _{n}}{y _{n}}) ?

select the correct answer using the code below

Topic:

Statistics and Probability

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Views: 5,432

A piece of wood of mass

0.03 kg

is dropped from the top of a

100 m

height building. At the same time, a bullet of mass

0.02 kg

is fired vertically upwards, with a velocity

100 ms^{- 1}

, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is

(g = 10 ms^{- 2})

[JEE (Main)-2019]

$30 m$
$40 m$
$20 m$
$10 m$

Topic:

Number Systems

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Views: 5,273

SECTION - A I. Answer the following questions.

2 \times 6 = 12

1. Enter the following transactions in sales book for the month of May 2020 of M/S krishna traders. 201620 May 01 sold goods to Mr. Santosh ₹

1, 00, 000

. May 08 sold goods to

Mr

. Suresh ₹ 20,000 . May 14 girish bought goods from us ₹ 3,000 . May 20 sold goods to rajan rs. 40,000 at

5%

discount. May 30 sold goods to kunal for cash

₹60, 000

. 2. Enter the following transactions in the single column cash book for the month of july2021 and balnce it.

Topic:

Number Systems

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Views: 5,333

\frac{d}{d x} (- - - -) = x^{4}

, then correct option to fill in blank is

$x^{5}$
$5 x^{5}$
$\frac{x ^{5}}{5} + 10$
$4 x^{3}$

Topic:

Polynomial & Linear Equations

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Views: 5,741

Paragraph for question nos.

48 - 50

Three identical blocks each of mass

5 kg

are connected by ideal strings and are being pulled along a horizontal frictionless table by a constant horizontal force

F

(refer diagram). 48. What is the magnitude of force

F

if the tension in the string connecting blocks

B

C

60 N

$60 N$
$120 N$
$180 N$
None of these

Topic:

Triangles & Circles

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Views: 5,993

Find tension in the string connecting blocks

A

B

$30 N$
$20 N$
$60 N$
None of these

Topic:

Triangles & Circles

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Views: 5,679

The system is released from rest. 2 second after the release the bigger block is held for an instant and again released. Find the time elapsed after that before the string again become tight.

$\frac{4}{3} sec$ .
$\frac{2}{3} sec$ .
$\frac{1}{3} sec$ .
$\frac{5}{3} sec$ .

Topic:

Statistics and Probability

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Views: 5,324

ax^{2} + 3 x + 4 > 0 \forall x \in R

ax^{2} + 4 x - 2 < 0 \forall x \in R

a x^{2} + b x + c

has no real roots,

a + b + c < 0

. Find the sign of the number

c

. For what values of a do the graphs of the functions

y = 2 a x + 1

y = (a - 6) x^{2} - 2

Topic:

Polynomial & Linear Equations

View solution

Question 10

Views: 5,156

88. The number of non-negative integral solutions of

\frac{( x - 1 ) ( x - 10 ) ^{2} ( x - 15 )}{( x - 4 ) ^{4} ( x - 12 ) ^{9}} \leq 0

Topic:

Polynomial & Linear Equations

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Question 11

Views: 5,102

A stick AB of mass M is tied at one end to a light string OA. A horizontal force F =Mg is applied at end B of the stick and its remains in equilibrium in position shown. Then

Topic:

Triangles & Circles

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Question 12

Views: 5,998

500 kg

satellite revolves around the earth at a height of

1 0^{3} km

above the earth's surface. Calculate, assuming circular orbit : (i) speed of satellite, (ii) angular velocity of satellite, (iii) gravitational force of the earth on the satellite. Given : radius of the earth

6.4 \times 1 0^{6} m, g = 9.80 m s^{- 2}

Topic:

Number Systems

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Question 13

Views: 5,522

θ, φ \in [0, 2 π]

2 cos θ (1 - sin ϕ) = sin^{2} θ (tan \frac{θ}{2} + cot \frac{θ}{2}) cos φ - 1, tan (2 π - θ) > 0 and - 1 < sin θ < - \frac{3}{2}

φ

$0 < φ < \frac{π}{2}$
$\frac{π}{2} < φ < \frac{4 π}{3}$
$\frac{4 π}{3} < φ < \frac{3 π}{2}$
$\frac{3 π}{2} < φ < 2 π$

Topic:

Polynomial & Linear Equations

View solution

Question 14

Views: 5,121

∣ ∣ x^{2} - 5 ∣ ∣ x ∣ + 6∣ = k

, has 8 distinct solution, then '

k

Topic:

Number Systems

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Question 15

Views: 5,378

Q A ball is projected at

20 m / s

shown to hit the top the given bldg at point

C

but ball collide below the point

C

at point D find

d

C & d

Topic:

Triangles & Circles

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Question 16

Views: 5,107

Q A ball is projected at

20 M / s

the given bldg as shocon to hit the top 0 collide below the point

C

but ball find a batu C\& d

Topic:

Triangles & Circles

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Question 17

Views: 5,424

if the measure of degree of an angle is q and radian is r prove p/9=20r/pi

Topic:

Number Systems

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Question 18

Views: 5,863

The weight of a piece of copper is 0.635g.the number of copper atoms present in it

Topic:

Statistics and Probability

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Question 19

Views: 5,861

At 27°C a certain gas with solid dipped into it occupies 100ml . Using a piston the pressure of the gas is doubled keeping temperature constant the vessel is then heated keeping the pressure constant when temperature is doubled in celsius the volume is observed to be 59.3ml . Calculate volume occupied by solid

Topic:

Heron's Formula

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Question 20

Views: 5,689

given by: [Online April 9, 2017]

$tan θ = \frac{3 + 2}{1 - 2}$
$tan θ = \frac{3 - 2}{1 - 2}$
$tan θ = \frac{1 - 2}{2 ( 1 + 3 )}$
$tan θ = \frac{1 - 3}{1 + 2}$

Topic:

Coordinate Geometry

View solution

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