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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

The given pair of linear equations can be written as
x + 2y - 8 = 0
and 2x + 4y - 16 = 0

$Here comma space space straight a subscript 1 over straight a subscript 2 equals 1 half comma space straight b subscript 1 over straight b subscript 2 equals 2 over 4 equals 1 half space and space straight c subscript 1 over straight c subscript 2 equals fraction numerator negative 8 over denominator negative 16 end fraction equals 1 half therefore space space straight a subscript 1 over straight a subscript 2 equals space straight b subscript 1 over straight b subscript 2 equals straight c subscript 1 over straight c subscript 2$
∴ There are infinitely many solutions.