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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A = \left[ \begin{array} { c c c } { 1 } & { 2 } & { 2 } \\ { 2 } & { 1 } & { 2 } \\ { 2 } & { 2 } & { 1 } \end{array} \right] \text { then show that } A ^ { 2 } - 4 A - 5 l = 0 |
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| 2. |
\sqrt { 1 - x ^ { 2 } } + \sqrt { 1 - y ^ { 2 } } = a ( x - y ) , \text { show that } \frac { d y } { d x } = \sqrt { \frac { 1 - y ^ { 2 } } { 1 - x ^ { 2 } } } |
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| 3. |
44 Ifa denotes the mth term of an AP, then am is equal toam+k - am-kd. amek tam-kam+ k + am-kd. of thesec.2 |
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Answer» a. hhjwjejerjrirkrjrkrkrrk |
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| 4. |
3. If A=P((1,2), where P denotes the power set,then which one of the following is correct?(a) (12)cA (b) 1e A (c) φΕΑ (d)(1,2) EA4. If the |
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Answer» Power set includes all the subsets of a particular set here the power sets of set {1,2} are A belongs to - {} , {1} , {2} {1,2} . now match the options option D is correct. |
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| 5. |
z ( Find the integers p and q such thatP(25)ăŽFind the integerspandqsuch that[1 3T2]=[r].find p.(ii) If|0 01-1ăICSE) |
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| 6. |
\begin{array}{c}{A=\left[ \begin{array}{cc}{1} & {2} \\ {2} & {1}\end{array}\right]} \\ {\text { show that } A^{2}-3 I=2 A, \text { where } I \text { denotes }} \\ {\text { identity matrix. }}\end{array} |
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| 7. |
In the figures given below AB IICD. EF is thetransversal intersecting AB and CD at G and Hrespectively. Find the values of x and y. Give15.creasonsME2r+15°4r-23°3r-20°>B |
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| 8. |
11. In the following figure AB lI CD and EF is a transversal intersecting theparallel lines at G and H respectively. Find the values of x,y and z120° |
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Answer» x + 120° = 180° ( linear pair)x = 180° - 120° = 60°x = 60° So, y = 60° ( Alternate angle) z = 60° ( vertically opposite angle) |
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| 9. |
âĄABCD is a trapezium in which sside DC. Points E and F are the midpointsdiagonals AC and BD respectively.2(AB-DC)15 marksProve : EF-gh D and E draw a line intersectingHint : ThrouAB at G such that A - G- B]Proof: |
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| 10. |
The area of a square is 16200II Tinhe area of a square field ishectare. Find the length of its diagonal in metres.2 |
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| 11. |
Prove that the sum of the squares of the diagonals of parallelogram is equal to the sumof the squares of its sides. |
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| 12. |
2Prove that the sum of the squares of the diagonals of parallelogram is equal to the sumof the squares of its sides. |
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| 13. |
6. Prove that the sum of the squares of the diagonals of parallclogram is equal to the sumof the squares of its sides. |
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| 14. |
17. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of thesquares of its diagonals. |
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| 15. |
Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of itsdiagonals |
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| 16. |
In the adjoining figure, ΔABC is a triangle and through A, B, C lines are drawn, parallel respectively to BC, CA and AB, intersecting at P,Q and R. Prove that the perimeter of ΔPQR is double the perimeter of ΔABC |
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| 17. |
Punjab and Haryana high court was established in |
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Answer» In 5th April 1948 Punjab and haryana high court was established |
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| 18. |
a) 3x2+16xA circle and a square have the same area. If C denotes the circumference of theperimeter of the square, thenc) P<Cd) P = |
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| 19. |
9. ABCis a triangle and through A, B, Clines are drawn parallel to BC, CA and AB respectivelyintersecting at P, Q and R. Prove that the perimeter of APQR is double the perimeter ofAABC. |
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| 20. |
9.ABC is a triangle and through A, B, C lines are drawn parallel toBC, CA and AB respectivelyintersecting at P, Q and R. Prove that the perimeter of APQR is double the perimeter ofAABC |
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| 21. |
and R-y-y 2, find PFind the perimeter of the given triangle.x+ 11 |
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| 22. |
Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of itsdiagonaltin) |
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| 23. |
Writebetween100national numbersand 1 |
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Answer» write ten rational number between 0 and 1 |
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| 24. |
Express the following National numbersas decimals!Ls 15 |
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Answer» By Dividing 15/4 we get -3.75 |
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| 25. |
establish the relationship between tangent and secant |
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Answer» IntersectingSecant-Tangent Theorem. If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. |
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| 26. |
270 के सरल अंकगणित3. 4 तथा B किसी एक ही दरी को क्रमश: 9 किमी/घण्टा तथा 10 किमी/घण्टा की चाल से तय वद्वारा लिया गया समय B द्वारा लिये गये समय से 36 मिनट अधिक हो तो यह दूरी कितनी है?(a) 48 किमी० (b) 54 किमी० (c) 60 किमी० (d) 66 किम:(TTT TA |
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Answer» sorry. I didn't know sorry I didn't know y 54 kmthat is option no. b |
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| 27. |
In the given figure, the perimeter of Î ABC is4 cm8P-5 cme |
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Answer» it's rong answer |
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| 28. |
5. The side of a square is 13 cm. If each side is increased by a cmfind the perimeter P of the new square |
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| 29. |
thepThe perimeter of a regular hexagon is 3,9 em. Find its side.a 9 cm. F |
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Answer» perimeter of hexagon is 6 × sideso 6× 3.9 = 23.4 cm |
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| 30. |
4.The area of a square with perimeter 28 cm issquare(a) 7 cm?(b) 49 cm2(c) 784 cmt into 12 equal squares. The p |
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| 31. |
wide the sum of 1 andby their diffeMISCELLAtify the following as positive or |
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Answer» 3/14+5/7= LCM of 14,17=14 3+2×5/14=13/14 13/14 is correct answer of following question 13/14 is correct answer. |
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| 32. |
(10) The sum of two angles is 5Tt and their difference is60°. Find the angles in degrees. |
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| 33. |
(10) The sum of two angles is 5r' and their difference is60° Find the angles in degrees. |
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Answer» Thank u very much |
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| 34. |
NEDA bird was flying in a line parallel to the ground from north to south at a height of 2000 metres. Tom,standing in the middle of the field, first observed the bird in the north at an angle of 30. After 3 minuteshe again observed it in the south at an angle of 45°. Find the speed of the bird in kmh2)131 |
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| 35. |
54 girls make 270 garlands in 1 hour. How many garlands will 9 girls make in 3 hours? |
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Answer» 54girls make 270garland in 1 hour 1 girl will make 270/54 garland in 1 hour so, 9 girls will make (270/54)*9 garland in 1 hours now 9 girls in 3hours will make (5*9)*3 garlands = 135 garlands |
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| 36. |
. The altitude of a parallelogram corresponding to a base of length15 cm is 18 cm. Findthe area of parallelogram |
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Answer» Base = 15cmHeight = 18 cmArea of a parallelogram = Base × AltitudeArea = 15×18 = 270 sqcm |
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| 37. |
9.A rectangle has length 15 cm and perimeter P cm.Which equation could be used to find the width ofthe rectangle? |
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Answer» This equation should be used. |
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| 38. |
1) There are 13 animals in the barn. Some are chickens and some are cows. There are 42 legs in all. Howmany of each animal are there? |
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| 39. |
-Divide * 490 between Ashu and Kanika in the ratio in 3:4 |
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Answer» Ashu=210kanika=280Is the right answer Ashu=210Kanika=280is the correct answer 210 and 280 is the correct answer. Ashu =210Kanika =280 is the correct answer like my answer Ashu=210kainka =280is the correct answer Ashu =210kanika=280is the right answer |
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| 40. |
In Fig. 10.16, the angle BAD and ADC are right anglesand A.X is parallel to BC If AB-BC 5 cm, andDC-8 cm. Calculate the area of ABCX. (SC)Fig. 10.16 |
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| 41. |
Find the measure of angle ADC |
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| 42. |
Jayant wants to make a photo frame. He has a photo of length 15 cmand breadth 10 cm. How long frame will be required? |
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| 43. |
ckct team buys 3 bats and 6 balls for Rs 3900. Later, she buys anothere same kind for Rs 1300. Represent this situation algebraically2.The coach of a cribat and 3 more balls of thand geometrically |
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Answer» Let Cost of one bat = Rs xLet Cost of one ball = Rs y3 bats and 6 balls for Rs 3900 So that3 x + 6y = 3900 … (1)Given that she buys another bat and 2 more balls of the same kind for Rs 1300So we getx + 2 y = 1300 … (2)Algebraic representation of situation3 x + 6y = 3900 … (1)x + 2 y = 1300 … (2)To represent it graphically, we need to plot these equation on the XY coordinate system.We can choose two values of each equation and plot it on XY coordinate system3x +6y = 3900 ory=(3900-3x)/6 To represent it graphically, we need to plot these equation on the XY coordinate system.We can choose two values of each equation and plot it on XY coordinate system3x +6y = 3900 |
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| 44. |
(Gai) Rani ran in the race and covered the distance in 16,5 s, Priya covered it in 15.9 s andSonia covered it in 14.7 s. Who is the winner? |
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| 45. |
De-fine Medion attitude A uusIm |
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| 46. |
3. Ashu cleaned of the room in 1 hour. What part of the rocwill he clean in 2 hours? |
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Answer» 8/9 is the answer of the question 8/9 is the correct answer of the given question |
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| 47. |
G-2117. In a △ABC, D and E are points on AB and AC respectively such that AD =AE and DB-EC. Provethat DE is parallel to BC. |
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| 48. |
AD is median of triangle ABC.The bisector of angle ADBand angle ADC meet AB andAC in E and F respectively.Prove that EF is parallel toBC. |
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Answer» In tri. DAE, DE Bisect angle ADBSo we haveDA/DB=AE/EB equ.1Similarly in tri. DAC, DE Bisect angle ADCwe getDA/DC=AF/FC(DC=DB)DA/DB=AF/FC equ.2From equ 1 and equ 2AE/EB= AF/FCIn tri ABCEF ¶ BE (... BPT) |
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| 49. |
10. ABC is a triangle in which D is the midpoint of AC. BD is produced to E such that BD DE. Provethat AE is equal and parallel to BC. |
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| 50. |
12. Each side of an equilateral triangle is 8 cri. Its area is |
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