Question

if square of the distance between the points (-2,a) and (a,-3) is 85 unit then find the value of a​

Answer 1

Answer:

(-2,a)+(a,-3)=85. ...given

-2+(-3)+a+a=85

-2-3+2a=85

-5+2a=85

2a=85+5

a=$\frac{90} {2}$

a=45.

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Answer 2

⭐Solution⭐

✏we know ,

if given two points A(a,b) and B(c,d) ,

so, distance between these point will be

AB = √[ (a-c)²+(b-d)²]

So,

✒a/c to questions.

[√{(a+2)²+(-3-a)²}]² = 85.....(1)

=> (a+2)²+(-3-a)²=85

=>(a²+4+4a+9+a²+6a)=85

=>(2a²+10a+13)=85

=>2a²+10a - 72=0

=> a²+5a-36=0

=>a²+9a-4a-36=0

=>a(a+9)-4(a+9)=0

=>(a-4)(a+9)=0

(a-4)=0 or (a+9)=0

=> a= 4 or a = -9

⏩Thus:-

Value of a = 4 or -9

✏Hopes its help's u.