• Call Us : 03082533000 (WhatsApp)
  • Email Us : TestPointpk.com@gmail.com
Testpoint Whatsapp group Testpoint Whatsapp group
Sticky Note
If a+3b=6 and ab=3, then the value of a^2 +9b^2 is:
  1. 2
  2. 12
  3. 18
  4. None of these
Explanation

If
a + 3b = 6 and , then the value of a2+9b2a^2 + 9b^2 is:

We are given:

a+3b=6(1),ab=3(2)

a+3b=6(1),ab=3(2)

Now square equation (1):

(a+3b)2=62=36⇒a2+9b2+6ab=36(a + 3b)^2 = 6^2 = 36 Rightarrow a^2 + 9b^2 + 6ab = 36

Use ab=3ab = 3

a2+9b2+6(3)=36⇒a2+9b2+18=36⇒a2+9b2=18a^2 + 9b^2 + 6(3) = 36 Rightarrow a^2 + 9b^2 + 18 = 36 Rightarrow a^2 + 9b^2 = 18

Related MCQs

If 2^x = 32, then the value of x is?
  1. 4
  2. 5
  3. 6
  4. None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
47⁴³ + 43⁴³ is divisible by?
  1. 45
  2. 60
  3. 90
  4. None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
If y = 2x and z = 5y, then x + 3y + z = ?
  1. 15x
  2. 17x
  3. 16x
  4. None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
Solve for x: 2x+5=15
  1. 3
  2. 5
  3. 7
  4. 10
اس سوال کو وضاحت کے ساتھ پڑھیں
Simplify: (3x + 2)(3x − 2)
  1. 9x² + 4
  2. 9x² − 4
  3. 6x² − 4
  4. 9x² − 2
اس سوال کو وضاحت کے ساتھ پڑھیں
Test Point Whatsapp Channel

All Rights Reserved © TestPointpk.com