a4sdoubtsengine

Prove that √20:09:15

Prove that √2 is an irrational number I #A4SDoubtsengine

Show that 2√20:01:28

Show that 2√2 is an irrational number. #a4sdoubtsengine

Show that (√3+√5)^20:03:01

Show that (√3+√5)^2 is an irrational number. #a4sdoubtsengine

Prove that (2√3)/50:02:08

Prove that (2√3)/5 is irrational. #a4sdoubtsengine

The HCF of0:01:29

The HCF of 45 and 105 is 15. Write their LCM. #a4sdoubtsengine

Show that 9n0:03:05

Show that 9n cannot end with digit 0 for any natural number n. #a4sdoubtsengine

What is the0:01:24

What is the HCF of smallest prime number and the smallest composite number?#a4sdoubtsengine

5. Evaluate |■(x&y&x+y@y&x+y&x@x+y&x&y)|0:04:26

5. Evaluate |■(x&y&x+y@y&x+y&x@x+y&x&y)|

12. Find the0:06:59

12. Find the shortest distance between the lines r ⃗=(i ̂+2j ̂+k ̂ )+λ(i ̂-j ̂+k ̂ ) and r ⃗=2

Prove that (2+√3)/50:02:52

Prove that (2+√3)/5 is an irrational number, given that √3 is an irrational number. #a4sdoubtsengine

8. (1 –0:01:19

8. (1 – i)4

4. A fair0:03:32

4. A fair coin and ad unbiased die are tossed. Let A be the event ‘head appears on the coin’

1.〖sin^(-1) (-〗⁡〖1/2)〗0:00:50

1.〖sin^(-1) (-〗⁡〖1/2)〗

Find the LCM0:02:44

Find the LCM and HCF of 120 and 144 using fundamental theorem of arithmetic.#a4sdoubtsengine

Show that reciprocal0:08:06

Show that reciprocal of 3 + 2√2 is an irrational number. #a4sdoubtsengine

14.Find Particular Solution0:00:56

14.Find Particular Solution Dy/dx = y tan x; y = 1 when x = 0

4. x =0:02:03

4. x = 4t, y = 4/t

9. y =0:04:08

9. y = sin-1 (2x/〖1+x〗^2 )

34. ∫_(-1)^1▒〖x^17 〖cos〗^40:01:56

34. ∫_(-1)^1▒〖x^17 〖cos〗^4 x dx=0〗

9. log0:02:45

9. log (log x)

2.Integrate xsin 3x0:01:35

2.Integrate xsin 3x

1. y= e^x+0:02:19

1. y= e^x+ 1 ∶ y^''- y^'=0

9. If A0:01:43

9. If A = [■(α&β@γ&-α)] is such that A2 = I. THEN (a) 1 + α^2+βγ=0

4.Suppose that 90%0:10:38

4.Suppose that 90% of people are right – handed. What is the probability that at most 6 of