Question

(2, 3) (k , 9) ಬಿಂದುಗಳ ನಡುವಿನ ದೂರ 13 ಮಾನಗಳಾದರೆ k ನ ಬೆಲೆ ಕಂಡುಹಿಡಿಯಿರಿ.​

Answer 1

Answer:

$k_{12}$ = 2 ± √133

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

d = $\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}$

~~~~~~~~~~~~

(2, 3)

(k, 9)

d = 13

13² = (k - 2)² + (9 - 3)²

(k - 2)² = 169 - 36

k² - 4k + 4 - 133 = 0

k² - 4k - 129 = 0

( ax² + bx + c = 0, D = b² - 4ac )

D = ( - 4)² + (- 4)(- 129) = 16 + 516 = 532

$k_{12}$ = 2 ± √133