badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 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

9 years ago

Answers : (1)

vikas askiitian expert
509 Points
							

|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         

9 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 53 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details