Given, Rahul purchased 7 DVDs each of which costs Rs.17. Therefore, the total cost of 7 DVDs = 7 x... View Article
The condition for intersection lines is that both should be on the same plane. If a1x+b1y+c1=0 and a2x+b2y+c2=0 are two... View Article
Answer: b) 1/2 1/2 of 1 = 1/2 x 1 = 1/2
The rational number that is equal to its negative is zero (0).
Given, a2 + 1/a2 = 2 By algebraic identities, we know; (a+b)² = a² + b² + 2ab (a +... View Article
ab(x2+y2)−xy(a2+b2) Using distributive property,= abx2+aby2−a2xy−b2xy= abx2 – b2xy+aby2−a2xy Taking out the common terms,= bx(ax−by)−ay(ax−by)= (ax−by)(bx−ay)
1.27 bar = 1.27 27 27 27.. Let x=1.27272727… ….(i) Multiplying 100 on both sides. 100x=127.2727…. …(ii) Now, if we... View Article
Given Long side of rectangular field is 60 metres more than the shorter side Let the longer side = (y+30)... View Article
Two line segments with common end points form an angle.
As we know, real numbers are the collection all the numbers such as natural and whole numbers, rational and irrational... View Article
(i) Number of red balls = 3 Total number of balls = 3+5 = 8 Probability of getting red ball... View Article
6C2 = 6!/[2!.(6-2)!] = (6x5x4!)/(2×4!) = (6×5)/2 = 15
If three coins are tossed, then the possible outcomes will be: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT),(HTT) Total outcomes... View Article
∫sin7 xdx We can write as: = ∫sin6x sinx dx = ∫(sin2x)3 sinx dx Since, sin2x = 1 – cos2x... View Article
Given, the number is 256. By prime factorisation of 256, we get; 256 = 2 x 2 x 2 x... View Article
Given, (x + 2) and (2x + 1) are factors of ax2 + 2x + b Now putting x =... View Article
Diameter of the hemisphere is equal to edge of the cube Thus, diameter = side of cube = l Surface... View Article
1/3 can be represented in the number line by dividing the space between 0 and 1 into three equal parts.... View Article
By prime factorization, we know; 343 = 7 × 7 × 7 = 7³ Thus, the exponential form of 343... View Article
Given, 1+i is a complex number. The multiplicative inverse of 1+i is 1/1+i. 1/(1+i) = (1-i)/(12 – i2) = (1-i)/(2) ... View Article
