Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Matrices

Short Answer Type

21. If $open square brackets table row cell straight x plus 2 straight y end cell cell 3 straight y end cell row cell 4 straight x end cell 2 end table close square brackets equals open square brackets table row 0 cell negative 3 end cell row 8 2 end table close square brackets$ find the values of x and y.

We are given that $open square brackets table row cell straight x plus 2 straight y end cell cell 3 straight y end cell row cell 4 straight x end cell 2 end table close square brackets equals open square brackets table row 0 cell negative 3 end cell row 8 2 end table close square brackets$

From the definition of equality of matrices, we have
x+ 2y = 0        -(I)
3.y= – 3    ...(2)
4 x =8     ...(3)
From (2),    y = – 1
From (3).    x = 2
Also (1) is satisfied for ,x = 2. y = – 1 we have x = 2. y= – 1

93 Views

22. If

open square brackets table row cell straight x minus straight y end cell cell 2 straight x plus straight z end cell row cell 2 straight x minus straight y end cell cell 3 straight z plus straight w end cell end table close square brackets equals open square brackets table row cell negative 1 end cell 5 row 0 13 end table close square brackets

, find x. y. z. w

90 Views

23. Find the values of.x, y and z from the following equations :

open square brackets table row 4 3 row straight x 5 end table close square brackets equals open square brackets table row y z row 1 5 end table close square brackets

96 Views

24. Find the values of.x, y and z from the following equations :

open square brackets table row cell straight x plus straight y end cell 2 row cell 5 plus straight z end cell cell straight x space straight y end cell end table close square brackets equals open square brackets table row 6 2 row 5 8 end table close square brackets

106 Views

25. Find the values of.x, y and z from the following equations :

open square brackets table row cell straight x plus straight y plus straight z end cell row cell straight x plus straight z end cell row cell straight y plus straight z end cell end table close square brackets equals open square brackets table row 9 row 5 row 7 end table close square brackets

165 Views

26. Find the values of a. b, c and rf from the equation :

open square brackets table row cell straight s minus straight b end cell cell 2 straight a plus straight c end cell row cell 2 straight a minus straight b end cell cell 3 straight c plus straight d end cell end table close square brackets equals open square brackets table row cell negative 1 end cell 5 row 0 13 end table close square brackets

89 Views

27.

If $open square brackets table row straight x cell 3 straight x minus straight y end cell row cell 2 straight x plus straight z end cell cell 3 straight y minus straight w end cell end table close square brackets equals open square brackets table row 3 2 row 4 7 end table close square brackets$ find x, y, z w.

93 Views

Long Answer Type

28. Find ,x, y , a and b if

open square brackets table row cell 2 straight x minus 3 straight y end cell cell straight a minus straight b end cell 3 row 1 cell straight x plus 4 straight y end cell cell 3 straight a plus 4 straight b end cell end table close square brackets equals open square brackets table row 1 cell negative 2 end cell 3 row 1 6 29 end table close square brackets

166 Views

Short Answer Type

29.

If $open square brackets table row cell straight a plus straight b end cell 2 row 5 cell space straight a space straight b end cell end table close square brackets equals open square brackets table row 6 2 row 5 8 end table close square brackets$ find the values of a and b.