Join now for JEE/NEET and also prepare for Boards Join now for JEE/NEET and also prepare for Boards. Register Now
Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
If a = (3,4) and B is a variable point on the lines |x| = 6. If AB ≤ 4 , then the no. of positions of B with integral coordinates is :- (a) 5 (b) 6 (c) 10 (d) 12 If a = (3,4) and B is a variable point on the lines |x| = 6. If AB ≤ 4 , then the no. of positions of B with integral coordinates is :- (a) 5 (b) 6 (c) 10 (d) 12
If a = (3,4) and B is a variable point on the lines |x| = 6. If AB ≤ 4 , then the no. of positions of B with integral coordinates is :-
(a) 5 (b) 6 (c) 10 (d) 12
|x| = 6 x can be 6 or -6 let point be B = { (6,y) or (-6,y) } AB can be AB = [(6-3)2 + (y-4)2]1/2 or [(-6-3)2+(y-4)2]1/2 AB ≤ 4 so 9 + (y-4)2 ≤ 16 or 81 + (y-4)2 ≤ 16 (y-4)2 - (root7)2 ≤0 or ( minimum value of (y-4)2 =0, enequality does not holds good) only possible solution is (y-4)2-(root7) 2 ≤ 0 (y-(4+root7)) (y-(4-root7)) ≤ 0 for this enequality , 4-root7 ≤ y ≤ 4 + root7 1.36 ≤ y ≤ 6.64 y can take value 2 , 3, 4, 5, 6 total solutions for y are 5 , total number of points should be 5... so option a is correct... approve if u like my ans
|x| = 6
x can be 6 or -6
let point be B = { (6,y) or (-6,y) }
AB can be
AB = [(6-3)2 + (y-4)2]1/2 or [(-6-3)2+(y-4)2]1/2
AB ≤ 4 so
9 + (y-4)2 ≤ 16 or 81 + (y-4)2 ≤ 16
(y-4)2 - (root7)2 ≤0 or ( minimum value of (y-4)2 =0, enequality does not holds good)
only possible solution is
(y-4)2-(root7) 2 ≤ 0
(y-(4+root7)) (y-(4-root7)) ≤ 0
for this enequality , 4-root7 ≤ y ≤ 4 + root7
1.36 ≤ y ≤ 6.64
y can take value 2 , 3, 4, 5, 6
total solutions for y are 5 , total number of points should be 5...
so option a is correct...
approve if u like my ans
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -