Question

find ab where a and b are 0^2 and 0^2

Answer 1

Answer:

Let A(−a,−b),B(0,0),C(a,b) and D(a2,ab)

Distance between two points (x1,y1) and (x2,y2) can be calculated using the formula (x2−x1)2+(y2−y1)2

Distance between the points A(−a,−b) and B (0,0)=(0+a)2+(0+b)2=a2+b2

Distance between the points B(0,0) and C (a,b)=(a−0)2+(b−0)2=a2+b2

Distance between the points C(a,b) and D (a2,ab)=(a2−a)2+(ab−b)2=(a−1)a2+b2

Distance between the points A(−a,−b) and D (a2,ab)=(a2+a)2+(ab+b)2=(a+1)a2+b2

Now.

AB+BC+CD=a2+b2+a2+b2+(a−1)a2+b2=(a+1)a2+b2=AD

Hence, the points are collinear.

Hence, the points are collinear.

Step-by-step explanation:

$Let A(−a,−b),B(0,0),C(a,b) and D(a2,ab)</p><p></p><p>Distance between two points (x1,y1) and (x2,y2) can be calculated using the formula (x2−x1)2+(y2−y1)2</p><p></p><p>Distance between the points A(−a,−b) and B (0,0)=(0+a)2+(0+b)2=a2+b2</p><p></p><p>Distance between the points B(0,0) and C (a,b)=(a−0)2+(b−0)2=a2+b2</p><p></p><p>Distance between the points C(a,b) and D (a2,ab)=(a2−a)2+(ab−b)2=(a−1)a2+b2</p><p></p><p>Distance between the points A(−a,−b) and D (a2,ab)=(a2+a)2+(ab+b)2=(a+1)a2+b2</p><p></p><p>Now.</p><p></p><p>AB+BC+CD=a2+b2+a2+b2+(a−1)a2+b2=(a+1)a2+b2=AD</p><p></p><p>Hence, the points are collinear.</p><p></p><p>$