Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

The value of k for which the system of equestions kx-y=2 and 6x-2y=3 has a uniqe solution is..
Asked by ruchipandey20071978 | 11 May, 2023, 06:55: AM
answered-by-expert Expert Answer
Given equations are as follows:
k x minus y equals 2 space a n d space 6 x minus 2 y equals 3
rightwards double arrow k x minus y minus 2 equals 0 space space a n d space space 6 x minus 2 y minus 3 equals 0
 
This is of the form
a subscript 1 x plus b subscript 1 y plus c subscript 1 equals 0 space space a n d space space a subscript 2 x plus b subscript 2 y plus c subscript 2 equals 0
w h e r e
a subscript 1 equals k comma space b subscript 1 equals negative 1 comma space c subscript 1 equals negative 2
a subscript 2 equals 6 comma space b subscript 2 equals negative 2 comma space c subscript 2 equals negative 3
For a unique solution, we must have
a subscript 1 over a subscript 2 not equal to b subscript 1 over b subscript 2
rightwards double arrow k over 6 not equal to fraction numerator negative 1 over denominator negative 2 end fraction
rightwards double arrow k over 6 not equal to 1 half
rightwards double arrow k not equal to 6 over 2 not equal to 3
Hence, the given system of equations will have a unique solution when k not equal to 3.
Answered by Rashmi Khot | 11 May, 2023, 10:21: AM
CBSE 10 - Maths
Asked by suvarnam458 | 23 Feb, 2024, 06:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by imalakondarayudu1 | 30 Jan, 2024, 06:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sbalmeeri | 29 Jan, 2024, 07:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mindu2109 | 05 Oct, 2023, 06:19: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by simmysingh1aug | 21 Sep, 2023, 01:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×