Tuesday, 7 August 2018

Properties of definite integral


Assignment 1, Chapter 3, Trigonometry functions ,Class 11, Mathematics

                              Rk institute
Assignment - 1                       
Class - 11, Maths
Chapter - 3

Q1. Find radian measure corresponding to following degree measure ?
(a) 300°          (b) 35°         (c) -56°         (d) 135°
(e) -7°30'
Q2.Find degree  measure corresponding to following radian measure?
(a) 9π/5          (b) -5π/6      (c) 18π/5      (d) -3
(e) 1
Q3. A circular wire of radius 3cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48cm. Find the angle in degrees which is subtended at the centre of hoop?
Q4.A wheel makes 1440 revolution in 10 minutes. Through how many radians does it turn in one second?
Q5. The minute hand of a watch is 1.5 cm long. How far does it's tip move during a class of period of 50 minutes?
Q6. Find the ratio of the radii of two circles at the centres of which two equal arcs subtend angles of 25° and 63°.

Friday, 20 July 2018

Theorem 6.1 Chapter 6 Class 10 Mathematics CBSE


Theorem 6.1 : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 


Saturday, 27 January 2018

Monday, 8 January 2018

complex number

i = √(-1)    and    i² = 1 and  i³ = 3
*Complex number is denoted by Z = x+iy     where "x" is real value(or part) while "y" is imaginary value(or part)
*Inverse of complex number
z–¹ = (conjugate of z/r)




Monday, 1 January 2018

circle

*Circumference of circle = 2πr  where r is radius of circle
*Area of circle = πr²
*Length of Arc = (x°/360)×2πr
*Area of sector = (x°/360°)×πr²
*Area of segment = (x°/360°)×πr² -r²SinxCosx
Where x is angle subtended by arc
*Equation of circle :- (x-h)² + (y-k)² = r²
 Where coordinate of point on circle is A(x,y) , centre is C(h,k) and radius is "r"