If the difference between the circumference and the radius of a circle is 37cm, then using , the circumference (in cm) of the circle is:
154
44
14
7
B.
44
Let r be the radius of the circle,
From the given information, we have
The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30o. The distance of the car from the base of the tower (in m.) is
150
C.
Let AB be the tower of height 75 m and C be position of the car.
In
How many three-digit natural numbers are divisible by 7?
Three digit numbers divisible by 7 are
105, 112, 119, .......994
This is an AP with first term (a) =105 and comman difference (d)= 7
In fig., the area of triangle ABC (in sq. units) is
15
10
7.5
2.5
C.
7.5
From the figure, the coordinates of A, B, and C are (1,3), (-1, 0) and (4, 0)
respectively.
A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23,is
C.
S = { 1, 2, 3,........90 }
n(s) = 90
The prime number less than 23 are 2, 3, 5, 7, 11, 13, 17 and 19
Let event E be defined as 'getting a prime number less than 23'.
n(E) = 8
The probability of getting an even number, when a die is thrown once, is
A.
S = { 1, 2, 3, 4, 5, 6 }
let event E be defined as 'getting an even number'.
n(E) = { 2, 4, 6 }
In fig., a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively, If AB = 29 cm, AD = 23 cm, B = 90o and DS = 5 cm, then the radius of thecircle (in cm) is
11
18
6
15
A.
11
Given: Ab, BC,CD,and AD tangents to the circle with centre O at
Q,P,S and R respectively.
AB=29 cm, AD=23 cm, DS=5 cm and B=900
Construction: Join PQ.
We know that, the lengths of the tangents drawn from an external
point to a circle are equal.
DS=DR=5 cm
AR= AD - DR= 23 cm- 5 cm= 18 cm
AQ=AR= 18 cm
QB = AB - AQ = 29 cm - 18 cm= 11 cm
QB = BP = 11 cm
In
In fig., PA and PB are two tangents drawn from an external point P to a circlewith centre C and radius 4 cm. If PA PB, then the length of each tangent is
3
4
5
6
B.
4
Therefore, APBC is a square having side equal to 4 cm.
Therefore, length of each tangent is 4 cm.
Severity: Notice
Message: Undefined variable: question_book_id
Filename: features/flexipad.php
Line Number: 469
Backtrace:
File: /var/www/html/public_html/application/views/features/flexipad.php
Line: 469
Function: _error_handler
File: /var/www/html/public_html/application/views/previous_year_papers/paper.php
Line: 163
Function: view
File: /var/www/html/public_html/application/controllers/Study.php
Line: 2109
Function: view
File: /var/www/html/public_html/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined variable: chapter_number
Filename: features/flexipad.php
Line Number: 469
Backtrace:
File: /var/www/html/public_html/application/views/features/flexipad.php
Line: 469
Function: _error_handler
File: /var/www/html/public_html/application/views/previous_year_papers/paper.php
Line: 163
Function: view
File: /var/www/html/public_html/application/controllers/Study.php
Line: 2109
Function: view
File: /var/www/html/public_html/index.php
Line: 315
Function: require_once