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Pair of Linear Equations in Two Variables

Short Answer Type

151.

Solve the following pair of linear equations:

px + qy = p - q
qx - py = p + q

163 Views

Long Answer Type

152.

Solve the following pair of linear equations:

ax + by = c
bx + ay = 1 + c

195 Views

153.

straight x over straight a minus straight y over straight b equals 0 ax plus by equals straight a squared plus straight b squared

150 Views

Short Answer Type

154.

Solve the following pair of linear equations:

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143 Views

155.

Solve the following pair of linear equations:

152x – 378y = – 74
–378x + 152y = – 604

931 Views

Long Answer Type

156.

ABCD is a cyclic quadrilateral (see Fig. 3.7). Find the angles of the cyclic quadrilateral.

781 Views

Short Answer Type

157.

Find the number of solutions of the follow ing pair of linear equations :
x + 2y - 8 = 0
2x + 4y = 16

146 Views

158.
Is the pair of linear equations consistent:
2x - 3y + 2 = 0,3x - 5y + 4 = 0.

We have
2x - 3y + 2 = 0 and 3x - 5y + 4 = 0
Here, a₁ = 2, b₁ = -3 and c₁ = 2
and a₂ = 3, b₂ = -5 and c₂ = 4
Conditions for consistency :
$straight a subscript 1 over straight a subscript 1 not equal to straight b subscript 1 over straight b subscript 2 rightwards double arrow 2 over 3 not equal to fraction numerator negative 3 over denominator negative 5 end fraction rightwards double arrow 2 over 3 not equal to 3 over 5$
So, the pair of linear equation are consistent.