Home › UP Board Class 10 › Mathematics › Algebra › Find x such that the distance from (x, 1) to (2,…
Find x such that the distance from (x, 1) to (2, 3) is √8.
A−1 or 5
B1 or 3
C0 or 4
D2 or 6
Answer & Solution
Correct answer: C. 0 or 4
√[(x − 2)² + (1 − 3)²] = √8 ⇒ (x − 2)² + 4 = 8 ⇒ (x − 2)² = 4 ⇒ x − 2 = ±2 ⇒ x = 0 or 4.
Related questions
When variables and numbers appear on both sides, you must simplify:Equations needing more than one operation are described as taking more:Once a solution is found, it should be checked by substituting it back to get a statement The product of any number and its reciprocal equals:A fraction multiplying the variable is best removed by multiplying by its:Solving x divided by 4 equals 3 gives x equal to:Solving 4x equals 20 gives x equal to:Solving x minus 8 equals 5 gives x equal to: