Class 10 - HYE Revision Worksheet

The pair of equations y = 0 and y = -7 has

• One solution

• two solution

• infinitely many solutions

• no solution

If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b

are respectively

• 6, -1

• 19/5, 6/5

• 2,3

• 1,4

The pair of equations x = a and y = b graphically represents the lines which are

• parallel

• intersecting at (b,a)

• intersecting at (a, b)

• coincident

The value of k, for which the system of equations

x + (k + 1)y = 5 and (k + 1)x + 9y = 8k – 1 has infinitely many solutions is

• 2

• 3

• 4

• 5

Graphically, the pair of equations

6x – 3y + 10 = 0

2x – y + 9 = 0

• Intersecting at exactly one point

• Intersecting at two points

• Coincident

• Parallel

Assertion:

The linear equations x−2y−3=0 and 3x+4y−20=0 have exactly one solution.

Reason:

The linear equations 2x+3y−9=0 and 4x+6y−18=0 have a unique solution.

• Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

• . Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.

• Assertion is correct but Reason is incorrect.

• Assertion is incorrect but Reason is correct.

In a number of two digits, unit’s digit is twice the tens

digit. If 36 be added to the number, the digits are

reversed. The number is

• 36

• 48

• 63

• 84

Which of the following pair of equations are

inconsistent?

• $3x-y\ =9,\ x-\frac{y}{3\ }=3$

• $4x+3y\ =\ 24,\ -2x\ +3y\ =\ 6$

• $5x-y\ =\ 10,10x-2y\ =\ 20$

• $-2x+\ y\ =\ 3,-4x+2y\ =10$

The value of a for which the lines, x = 1 and y = 2 and $a^2x\ +\ 2y\ -20\ =\ 0\$  are concurrent is

• 1

• - 4

• 8

• - 2

The point on the X -axis which if equidistant from the

points A (-2, 3) and B (5,4) is

• (0,2)

• (2, 0)

• (3, 0)

• (-2, 0)