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Question 1671 :
For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is

A.
ap + 6 = 0
B.
2a + k not equal to 0
C.
ap − 6 = 0
D.
kp + 12 not equal to 0

Video Explanation

Explanatory Answer

A necessary condition for the system to have no solution for (𝑥,𝑦), is
The condition is $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$
i.e., $\frac{p}{3} = \frac{- 4}{k} \neq \frac{2}{a}$
For p3=−4k;pk+12=0
For −4k≠2a;−4a≠2k⇒2a+k≠0
For p3≠2a;pa−6≠0

The question is "For some constant real numbers $p, k$ and $a$ , consider the following system of linear equations in $x$ and $y$ :

p x - 4 y = 2 3 x + k y = a

A necessary condition for the system to have no solution for $(x, y)$ , is "

Hence, the answer is ' $2 a + k \neq 0$ '

The question is " For some constant real numbers p, k and a, consider the following system of linear equations in x and y: px - 4y = 2 3x + ky= a A necessary condition for the system to have no solution for (x, y ), is"

Previous Year Papers

Question 1671 :
For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is

Video Explanation

Explanatory Answer

Hence, the answer is ' $2 a + k \neq 0$ '

The question is "<p> For some constant real numbers p, k and a, consider the following system of linear equations in x and y:<br>px - 4y = 2<br>3x + ky= a<br>A necessary condition for the system to have no solution for (x, y ), is</p>"

The answer is "<p>2a + k not equal to  0</p>"

Choice B is the correct answer.

Previous Year Papers

Question 1671 : For some constant real numbers p, k and a, consider the following system of linear equations in x and y:px - 4y = 23x + ky= aA necessary condition for the system to have no solution for (x, y ), is

Video Explanation

Explanatory Answer

Hence, the answer is '2a+k≠0'

The question is "<p>&nbsp;For some constant real numbers p, k and a, consider the following system of linear equations in x and y:<br>px - 4y = 2<br>3x + ky= a<br>A necessary condition for the system to have no solution for (x, y ), is</p>"

The answer is "<p>2a + k not equal to&nbsp; 0</p>"

Choice B is the correct answer.

Question 1671 :
For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky= a
A necessary condition for the system to have no solution for (x, y ), is

Hence, the answer is ' $2 a + k \neq 0$ '

The question is "<p> For some constant real numbers p, k and a, consider the following system of linear equations in x and y:<br>px - 4y = 2<br>3x + ky= a<br>A necessary condition for the system to have no solution for (x, y ), is</p>"

The answer is "<p>2a + k not equal to 0</p>"