Area of a parallelogram two of whose sides are given by 2 x2-5 x y+2 y2=0 and one of its diagonal is 5 x+2 y=1, is

Question

Area of a parallelogram two of whose sides are given by 2 x2-5 x y+2 y2=0 and one of its diagonal is 5 x+2 y=1, is (A) (1/6) (B) (1/12) (C) (1/20) (D) (1/36)

Tardigrade Admin · Accepted Answer

∴ Area of parallelogram <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/139a38429edafd204b014ef834cc0d66-.png" /> =2 ((1/2)|0&0&1 (1/9)&(2/9)&1 (2/12)&(1/12)&1|)=(1/36) s

Q. Area of a parallelogram two of whose sides are given by $2 x^{2} - 5 x y + 2 y^{2} = 0$ and one of its diagonal is $5 x + 2 y = 1$ , is

$\frac{1}{6}$

$\frac{1}{12}$

$\frac{1}{20}$

$\frac{1}{36}$

$∴$ Area of parallelogram

$= 2 ⎝ ⎛ \frac{1}{2} ∣ ∣ 0 \frac{1}{9} \frac{2}{12} 0 \frac{2}{9} \frac{1}{12} 111 ∣ ∣ ⎠ ⎞ = \frac{1}{36} s$

Q. Area of a parallelogram two of whose sides are given by 2x2−5xy+2y2=0 and one of its diagonal is 5x+2y=1, is

61​

121​

201​

361​