Question

If the pair of Linear equations x + 2y = 3 and 2x + 4y = k are coincide then the

value of ‘k’ is :

A. 3 B. 6

C. -3 D. -6

2. The nth term of an arithmetic progression is an

= 4n + 5 then the 3rd term is :

A. 5 B. 9

C. 13 D. 17

3. If the roots of the quadratic equation x2

+ 6x + k = 0 are equal, then the value

of ‘k’ is :

A. 9 B. -9

C. 8 D. 5

4. The value of sin 600 × cos 300

is :

A.

1

4

B.

3

4

C.

3

4

D.

1

2

5. The distance of the co-ordinate p(4, 3) from the x- axis is :

A. 2 units B. 3 units

C. 4 units D. 5 units

6. A straight line intersecting a circle at two points is called :

A. a secant B. a tangent

C. radius D. a normal​

Answer 1

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1. If the pair of Linear equations x + 2y = 3 and 2x + 4y = k are coincide then the value of ‘k’ is :

A. 3

B. 6

C. -3

D. -6

2. The nth term of an arithmetic progression is an = 4n + 5 then the 3rd term is :

A. 5

B. 9

C. 13

D. 17

3. If the roots of the quadratic equation x²+ 6x + k = 0 are equal, then the value of ‘k’ is :

A. 9

B. -9

C. 8

D. 5

4. The value of sin 60° × cos 30° is :

A. ¼

B. ¾

C. ¾

D. ½

5. The distance of the co-ordinate p(4, 3) from the x- axis is :

A. 2 units

B. 3 units

C. 4 units

D. 5 units

6. A straight line intersecting a circle at two points is called :

A. a secant

B. a tangent

C. radius

D. a normal

$\huge{\bf{\green{\cal{\dag{\underline{\underline{Answers}}}}}}}$

1. k = 6

2. a3 = 17

3. k = 9

4. ¾

5. 5 units

6. Secant

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1. Condition for Coincident lines is a1/a2 = b1/b2 = c1/c2

a1 = 1 ; b1 = 2 ; c1 = 3

a2 = 2 ; b2= 4 ; c2 = k

1/2 = 2/4 = 3/k

1/2 = 3/k

k = 3 x 2 = 6

2. an = 4n + 5

a3 = 4 x 3 + 5 = 12 + 5 = 17

3. If the roots of a quadratic equation are equal then it's discriminant is equal to 0

D = b² - 4ac

a = 1 ; b = 6 ; c = k

6² - 4 x 1 x k = 0

36 - 4k = 0

-4k = -36

k = -36/-4 = 9

4. sin 60° = √3/2 and cos 30° = √3/2

sin 60° x cos 30° = √3/2 x √3/2 = ¾

5. Distance from origin = √(x²+y²)

= √(4²+3²)

= √(16+9)

= √25 = 5 units

6. A straight line from any point on a circle to any another point of a circle is secant.