131). If \( \Large x^{2}-7x+1=0 \), then what is the value of \( \Large x+ \dfrac{1}{x}\)?
| A). 7 |
| B). 3 |
| C). 51 |
| D). 47 |
|
132). If \( \Large x^{2}-2 \sqrt{10}x+1=0 \), then what is the value of \( \Large x- \dfrac{1}{x}\)?
|
133). If \( \Large \dfrac{3x-1}{x} + \dfrac{5y-1}{y} + \dfrac{7z-1}{z}=0 \), then what is the value of \( \Large \dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z} \)?
| A). -3 |
| B). 0 |
| C). 15 |
| D). 21 |
|
134). If \( \Large x^{2}-3x+1=0 \), then what is the value of \( \Large x^{4}+ \dfrac{1}{x^{4}} \)?
| A). 11 |
| B). 18 |
| C). 47 |
| D). 51 |
|
135). What is the value of \( \Large \dfrac{ \left( a^{2}+b^{2} \right) \left(a-b \right) - \left(a-b \right)^{3} }{a^{2}b-ab^{2}} \)?
|
136). In the given figure, O is the center of the circle, ∠PQR = 100° and ∠STR = 105°. What is the value (in degrees) of ∠OSP?
| A). 95 |
| B). 45 |
| C). 75 |
| D). 65 |
|
137). In the given figure, EF = CE = CA, what is the value (in degrees) of ̸ ̲ EAC ?
| A). 58 |
| B). 64 |
| C). 72 |
| D). 32 |
|
138). If length of each side of a rhombus ABCD is 16 cm and ̸ ̲ ABC = 120°, then what is the length (in cm) of BD?
| A). 24 |
| B). 12 |
| C). 16 |
| D). 14 \( \large \sqrt{3} \) |
|
139). In an isosceles triangle PQR ̸ ̲ P = 130°.If I is the in-centre of the triangle, then what is the value (in degrees) of ̸ ̲ QIR ?
| A). 130 |
| B). 120 |
| C). 155 |
| D). 165 |
|
140). In the given figure, O is the centre of a circle of radius 13 cm and AB is a chord perpendicular to OD. If CD = 8 cm, then what is the length (in cm) of AB?
| A). 6 cm |
| B). 12 cm |
| C). 24 cm |
| D). 28 cm |
|
