Question

Q.1 Which of the following is a rational number a)√50 b)√36 c)√84 d)√20
Q.2 The decimal expansion of √2 is
a ) Finite decimal expression b) Non repeating and recurring c)1.4142 d) Non repeating and non recurring
Q.3 Decimal expression of a rational number cannot be
a) Terminating b) NON terminating c) NON terminating and repeating d) NON terminating and non repeating
Q.4 (2√3+√3) is equal to
a)3√3. b) 2√6 c) 6 d)4√6 Q.5 The value of (64)⁻²/³ is…
a)1/64 b)1/16 c)64. d)16 Q.6 The degree of polynomial 4x⁴+0x⁵+2x²+5x+5 isa)2. b)5. c)4 d)0
Q 7 The Zero of polynomial P(x)=2x+5 is
a)5/2. b)-5/2. c)2 d)5
Q.8 If( x+1) is a factor of the polymial 2x2+Kx, then the value of K is
a)2 b)5 c)-2 d)1
Q.9 The factors of (4x2+8x+3) are
a)(x+1)(x+2). b)(2x+1)(2x+3). c)(2x+2)(2x+5) d)(2x-1)(2x-3) Q.10 If (x+y)=2 and xy =10 then value of (X2+y2 ) isa)-16. b)16 c)20 d)10​

Answer 1

Answer:

The length, area and the perimeter of the rectangle are 21cm, 420 cm² and 82 cm respectively.

Step-by-step explanation:

Let the rectangle be ABCD.

According to the question :

➟ Diagonal : BD = 29cm

➟ Breadth : CD = 20cm

All the angles in a rectangle are 90°.

So, ∆BDC is a right angled triangle with ∠BCD = 90°. Using pythagoras theorem :

➟ (P)² + (B)² = (H)²

➟ (BC)² + (20)² = (29)²

➟ BC² + 400 = 841

➟ BC² = 841 – 400

➟ BC² = 441

➟ BC = √441

➟ BC = 21cm

∴ The length of the rectangle BC is 21 cm.

Now, let's find the area of the rectangle :

➟ Area of rectangle = Length × breadth

➟ A = 21cm × 20cm

➟ Area = 420cm²

∴ The area of the rectangle is 420 cm².

Finally, finding the perimeter of the rectangle :

➟ Perimeter = 2 (l + b)

➟ P = 2 (21cm + 20cm)

➟ P = 2 (41cm)

➟ Perimeter = 82cm

∴ The perimeter of the rectangle is 82 cm.

Step-by-step explanation:

Answer 2

Answer:

.1 Which of the following is a rational number a)√50 b)√36 c)√84 d)√20

Q.2 The decimal expansion of √2 is

a ) Finite decimal expression b) Non repeating and recurring c)1.4142 d) Non repeating and non recurring

Q.3 Decimal expression of a rational number cannot be

a) Terminating b) NON terminating c) NON terminating and repeating d) NON terminating and non repeating

Q.4 (2√3+√3) is equal to

a)3√3. b) 2√6 c) 6 d)4√6 Q.5 The value of (64)⁻²/³ is…

a)1/64 b)1/16 c)64. d)16 Q.6 The degree of polynomial 4x⁴+0x⁵+2x²+5x+5 isa)2. b)5. c)4 d)0

Q 7 The Zero of polynomial P(x)=2x+5 is

a)5/2. b)-5/2. c)2 d)5

Q.8 If( x+1) is a factor of the polymial 2x2+Kx, then the value of K is

a)2 b)5 c)-2 d)1

Q.9 The factors of (4x2+8x+3) are

a)(x+1)(x+2). b)(2x+1)(2x+3). c)(2x+2)(2x+5) d)(2x-1)(2x-3) Q.10 If (x+y)=2 and xy =10 then value of (X2+y2 ) isa)-16. b)16 c)20 d)10​

Step-by-step explanation: