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\( 5(x-4)-25 \% \) of \( (x-5)=20 \)
Algebra Jan 22, 2025
2. Find the median of: (i) \( 17,19,32,10,22,21 ; 9,35 \)
Statistics Jan 22, 2025
2. Find the median of: (i) \( 17,19,32,10,22,21,9,35 \) (ii) \( 72,63,29,51,35,60,55,91,85,82 \) (iii) \( 10,75,3,15,9,47,12,48,4,81,17 \),
Statistics Jan 22, 2025
Fill in the blanks so as to make each of the following statement true : (Que. No. 7 to 12) 7. If the midpoint of \( \triangle \mathrm{ABC} \) is \( (3,-1) \) and \( \mathrm{A}(1,3) \) then the midpoint of \( \overline{\mathrm{BC}} \) is \( \qquad \) \( ((-3,4),(4,-3), \overline{(-4,3)}) \) 8. If \( \sin \theta=\sqrt{3} \cos \theta \) then \( \sec \theta= \qquad \) \( (2,3,1) \) 9. Quadrilateral ABCD circumscribes a circle. If \( \mathrm{AB}=5.2 \mathrm{~cm}, \mathrm{BC}=8.7 \mathrm{~cm} \) and \( C D=10.3 \mathrm{~cm} \), then \( \mathrm{AD}= \qquad \) cm . 10. The area of a square which is inside a circle of radius 8 cm is \( \qquad \) cm2. \( (64,60,128) \) 11. The volume of cylinder is 550 cubic cm . If the radius of it is 5 cm , then find the height \( = \qquad \) \( (7,6,5) \) 12. If the observations \( 24,25,26, x+2, x+3,30,31 \) and 34 are in ascending order, and the median is 27.5 then \( x= \qquad \) \( (27,25,28) \)
Geometry Jan 22, 2025
* State whether each of the following statements are true or false. (Que. No. 13 to 16) 13. For an event \( A \), it is possible that \( P(A)=P(\bar{A}) \). 14. The standard form of equation \( y=\frac{1}{2} x \) is \( x-2 y+0=0 \).
Probability Jan 22, 2025
* Fill in the blanks so as to make each of the following statement true : (Que. No. 7 to 12) 7. If the midpoint of \( \triangle \mathrm{ABC} \) is \( (3,-1) \) and \( \mathrm{A}(1,3) \) then the midpoint of \( \overline{\mathrm{BC}} \) is \( \qquad \) \( ((-3,4),(4,-3),(-4,3)) \) 8. If \( \sin \theta=\sqrt{3} \cos \theta \) then \( \sec \theta= \qquad \) \( (2,3,1) \) 9. Quadrilateral ABCD circumscribes a circle. If \( \mathrm{AB}=5.2 \mathrm{~cm}, \mathrm{BC}=8.7 \mathrm{~cm} \) and \( C D=10.3 \mathrm{~cm} \), then \( \mathrm{AD}= \qquad \) cm. \( (4.8,5.8,6.8) \) 10. The area of a square which is inside a circle of radius 8 cm is \( \qquad \) cm2. \( (64,60,128) \) 11. The volume of cylinder is 550 cubic cm . If the radius of it is 5 cm , then find the height \( = \qquad \) \( (7,6,5) \) 12. If the observations \( 24,25,26, x+2, x+3,30,31 \) and 34 are in ascending order, and the median is 27.5 then \( x= \qquad \) \( (27,25,28) \)
Geometry Jan 22, 2025
6. All \( \qquad \) triangles are similar. (A) equilateral (B) isosceles (C) scelene (D) right-angled
Geometry Jan 22, 2025
अगर एक आदमी ने दो बार खेल कूद प्रतियोगिताएं जीती हैं, तब उसकी तीसरी प्रतियोगिता जीतने की संभावना क्या होगी अगर यह स्वतंत्र घटना है?
Probability Jan 22, 2025
MgO ceramic has heat capacity \( 940 \mathrm{~J} / \mathrm{kg} . \mathrm{K} \), coefficient of thermal expansion \( 13.5 \times 10^{-6} \) per \( { }^{\circ} \mathrm{C} \), thermal conductivity 37.7 W/m.K and density of \( 3.58 \mathrm{~g} / \mathrm{cm}^{3} \). Then the thermal diffusivity for MgO is \( \mathrm{cm}^{2} / \mathrm{s} \) (round off to two decimal places).
Physics Jan 21, 2025
\( \frac{\text { Volume of cylinder }}{\text { surface area of cylinder }} \)
Geometry Jan 21, 2025
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