Question
If p and q are real numbers such that p2 + (p
- 2q - 1)2 = - 4q(p + q), then the value p - 2q isSolution
ATQ,
Let's solve the given equation step by step: Given: 
On Expanding the Equation (pâ2qâ1)2 , we get 
Substituting back into the equation:
On Combine all p2Â terms, we get:
Let Assume a simple relation:
Assume p - 2q = k (where k is a constant we need to find). Then = If k = 1, substitute p = 2q + k = 2q+1. Then, Substitute p=2q+1 into both sides: Simplify to verify if the equation holds true. Hence, it's shows that the equation is satisfied. therefore, The value of p â 2q is 1.
Which of the following word is third to the right if, all vowels are replaced by the preceding letter and all consonant replaced with next letter in the...
How many such digits are there in the number 86732459 each of which is far away from the beginning of the number as when the digits are arranged in desc...
In the word âHOUSEKEEPERâ all consonants are written as their preceding letter and all vowels are written as their following letters. Now all lette...
If we arrange all the letters of the word âPARAMOUNTâ in alphabetical order from the left end, then, which letter will remain at its initial positio...
How many pairs of digits are there in the number â79384823â, which has as many digits between them in the number (both forward and backward) as in t...
If all the prime digits of the number '576893482' are removed from the number, then what is the sum of the remaining digits?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 358716 and the new number thus formed is arranged in ascending or...
The positions of how many alphabets will remain the same if each of the alphabets in the word DOCUMENT is rearranged in the alphabetical order from left...
If in the number '4359672', 1 is subtracted from all the odd digits and 2 is added to all the even digits then all the numbers which are repeated are de...
If the digits in the number 40723819 are arranged in descending order from left to right, what will be the resultant if the third digit from your left i...
