This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 65151. |
15Jul the adjoining figure, ABCD isa Dparallelogram and E is the midpoint of sideBC. If DE and AB when producedmeet at Fprove that AF 2AB |
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| 65152. |
point A is 26 cm away from the centre of a circle and thelength of tangent drawn from A to the circle is 24 cm. Findthe radius of the circle.6. A |
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| 65153. |
1-412.afすIf A =Issool.B-12-3 5 0 6 |
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| 65154. |
Draw a circle of diameter 12 cm. From a point P 10 cm away from its centre, construct apair of tangents to the circle. Measure the lengths of the tangents.26. |
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| 65155. |
3. Tvo parallel lines l and m are cut by a transversal t. If the interior angles of the same sidut be (2x - 8j and (3x -71P. find the measure of each of these angles. |
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| 65156. |
IATHEMATICSTWO VARIATwo Variable Linear Equaticx + 2y + 1 = 02x - 3y - 12 = 03x - 2y + 3 - 04x + 3y - 47 - 0 |
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Answer» Here |
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| 65157. |
2. Ask your friends about the number of people living in theirhomes. Fill in the table. |
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| 65158. |
16. Two circles with centres A, B are of radii 6 cm and 3 cm respectivelAB 15 cm, find the length of a transverse common tangent to these circles. |
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| 65159. |
12 cm. rid tne daheter of the circleDiameter of a circle is 26 cm and length of a chord of the circle is 24 cm. Find thedistance of the chord from the centre.2. |
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Answer» we know a radius makes 90° angle on any chord and bisects it.so,radii=> 26/ 2 => 13 cm ( H )base=> 24/ 2 => 12 cm ( B )p= ? H² = B² + P²13² = 12² + P²169 = 144 + P²P²= 169 - 144P² = 25P=√ 25P= 5cm The distance of chord from the centre is 5cm. |
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| 65160. |
0८580 में, 08 || 80, जहाँ 0, 88 पर एक बिन्दु & ¥t E.AC R T fi g. AD AD AB “लगन) e i (i3 iy )) DB (i) e (i) पति (iv) DBT AT T e U - |
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Answer» thanks |
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| 65161. |
6.A natural number is greater than the other by5. The sum of their squares is 73. Find thenumbers. |
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Answer» let the no. is x andx+5 x²+(x+5)²=73 let first number=x other number=x+5 according to question,(x²)+(x+5)²=73x²+x²+25+10x=732x²+10x+25-73=02x²+10x-48=0dividing by 2,x²+5x-24=0x²+8x-3x-24=0x(x+8)-3(x+8)=0(x+8)(x-3)=0x-3=0x=3first number=3other number=3+5=8 ans. |
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| 65162. |
4. In the adjoining figure DE||BC. IfAD = 2.5 cm, DB = 3 cm and AE =3.75 cm. Find AC. |
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| 65163. |
Let ABC be a triangle in which DEI BC andAD3AD 3-. IfDB 5--=-AC = 5.6 Find AE. |
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Answer» Given thatDE//BC,AD/DB =3/5 and AC=5.6 cmSince ABC is a triangle.AB=AD+DB=3+5=8 cmAC=5.6 cmSo using Thales theorem,AB/DB=AC/AE8/3=5.6/AEAE=5.6×3/8= 0•7×3=2.1 cm |
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| 65164. |
)ApointAis26cm away from the centre of a circleand the length of tangent drawn from A to thecircle is 24 cm. Find the radius of the circle. 2 |
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| 65165. |
17, Tvo parallel chords of a circle, 12 cm and 16 cm long are on the same side of the centre. The distancebetween them is 2 cm. Find the radius of the circle |
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Answer» Given chords AB=12 cm, CD =16 cm and AB||CDDraw OP⊥ AB. Let it intersect CD at Q and AB at P∴ AP = PB = 6 cm and CQ = DQ = 8 cm [Since perpendicular draw from the centre of the chord bisects the chord]Let OD = OB = rIn right ΔOQD, r^2 = x^2 + 8^2 [By Pythagoras theorem]r^2 = x^2 + 64 → (1) In right ΔOPB, r^2 = (x + 2)^2 + 6^2 [By Pythagoras theorem]Þ r^2 = x^2 + 4x + 4 + 36 = x^2 + 4x + 40 → (2) From (1) and (2) we getx^2 + 64 = x^2 + 4x + 40⇒ 4x = 24∴ x = 6 therefore radius of circle is 6cm.Put x = 3 in (1), we getr2 = 32 + 36 = 9 + 36 = 45∴ r = √45 = 3√5 cm |
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| 65166. |
roveマbitve ,Telia ,1t4b are also in AP, - , are also in A.P |
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Answer» A, b, c ... in AP. ∴ 2b = a + c .......... (1) ∴ To Prove : 1/(√b + √c), 1/(√c + √a), 1/(√a + √b) ... in AP ⇒ To Prove : [ 1/(√c+√a) ] - [ 1/(√b+√c) ] = [ 1/(√a+√b) ] - [ 1/(√c+√a) ] ⇒ To Prove : [ (√b-√a) / (√b+√c) ] = [ (√c-√b) / (√a+√b) ] ⇒ To Prove : (√b-√a)·(√b+√a) = (√c-√b)·(√c+√b) ⇒ To Prove : b - a = c - b ⇒ To Prove : 2b = a + c, which is True ... from (1) Hence, the result. |
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| 65167. |
A figure is made up of an equilateral triangle and a square osde 7 cm. The perets of the tigure235 cm1.(a) 20 em(b) 28d) 42 sm |
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Answer» Perimeter of the figure= sum of two sides of triangle+ sum of three sides of the square=(7+7)+(7+7+7)=35 cm |
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| 65168. |
attheendsasshowninthetigure.15. The shape of a garden is rectangular in the middle and semi-circularFind the area and the perimeter of this garden.8.4 m<21 m |
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Answer» Perimeter will be 2*(perimeter of a semicircle)+perimeter of rectanglehence radius of semicircle is 4.2m(8.4/2)Now the length, =21-(4.2+4.2)=12.6mhence breadth is 8.4mnow perimeter=2*(πr)+(2(l+b))=2*22/7*4.2+2(12.6+8.4)2*22*0.6+2*21=68.4mArea=2*(area of semicircle)+area of rectanglehencearea=2*(πr^2/2)+(l*b)=2*22/7*4.2*4.2+(12.6*8.4)=110.88+105.84=216.72m^2 sorry ur answer is wrong its answer is 161.28msq,51.6m |
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| 65169. |
l. The height of a cone is 30 cm. A small cone is cut off at the top by a platethe base. If its volume be of the volume of the given cone, thebe base at which the section has been made, isa) 10 om27(d) 25 cme place(b) 15 em(c) 20 emalatcone p12. A soid consists of a cigalar crlin |
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Answer» other methods of doing this |
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| 65170. |
wNow you write these andalso say them aloud.27 = __ + 731 = 30 +-+|||+9+|+!= 80+2Ask students if they also know counting in somenames in that language also suggest the break |
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Answer» 20150+49960+330+82 27=29+731=50+499=90+963=60+382=80+2 |
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| 65171. |
2. In the given figure, O is the centre of the circleand AB is a tangent at B. If AB 15 cm andAC 7.5 cm, calculate the radius of the circle.[2012] |
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| 65172. |
Q11. Find the value of x, if x6+ 6+ 6.... co, where x is a natural number |
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| 65173. |
The perimeter of the given Δ ABC is 32 cmFind the lengths of the sides AB and AC.X + 715 |
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Answer» Like if you find it useful |
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| 65174. |
6.A Die is rolled once probabelity of getting a natural number greater than 6 isa)7b) 1d) 1/6 |
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Answer» When dice is rolled then total number of outcomes = 6 As dice contain numbers from 1 to 6. Hence its not possible to get number greater than 6. Therefore,Probability of getting natural number greater than 6= 0/6 = 0 (c) is correct option |
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| 65175. |
alt(v) The points D & E are situated on the sides AB and AC ofAABC in such a way that DElBC and AD DB 3: 1; if EA-3.3 cm. then the length of AC is (1.1 cm/4 cm/4.4 cm/5.5 cm). |
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| 65176. |
(v) length = 4 m 35 cm and breadth = 3 m |
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Answer» 4.35×3 |
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| 65177. |
2. What is the relation between radiusdiameter of a circle ?3. Determine the radii in each of the folloscases where diameters are:(1) 16 cm (ii) 9 cm (iii) 26 cmiv) 30 cm (v) 24 cm4. Determine diameters, if the radii of circle() 2 cm (in) 3.5 cm (ii) 4.25 m |
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Answer» 2).d=2r3) I) 8 cmii)4.5 cmiii)13 cmIV)15 cmv)12 cm4)I. 4 cmii. 7 cmiii. 8.5 cm 2)d=2r3) ¡)8cm¡¡)4.5cm¡¡¡)13cmlV) 15cm4)¡.4cm¡¡)7cm¡¡¡)8.5cm |
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| 65178. |
3. Construct an isosceles triangle whose base is 8 cm and altitude is 4 cm then draw anothertrianglewhosides aretimes the corresponding sides of the isosceles triangle (R,V) |
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| 65179. |
3. The disgonals of a thombus are 9 c and 6 om Its area (in cm) is1B) 216A) 108C) 54(D) 27 |
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Answer» Area = product of diagonals/2 = (6 * 9)/2 = 27 cm^2 thanks |
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| 65180. |
The human chromosome with highest and least number of genes are- |
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Answer» The human chromosome with the highest and least number of genes in. them are respectively: a. Chromosome 21 andY. |
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| 65181. |
Find the Highest common Factory CHEFSof the following number> 4802) 120 |
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Answer» 1) 480/2=240/2=120/2=60/2= 30/2=15/3=5; 2|480|1202|240| 602|120| 303| 60 | 155| 20| 5 | 4 | 1HCF = 2×2×2×3×5 = 120 120 the correct answer of the given question 120 is the right answer of the following 480/2=240/2=120/2=60/2=30/2=15/3=5reqd is H.C.F=2.2.2.2.2.3ans |
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| 65182. |
In the figure giyen below, if PQ Il RS and CPXM50°and AMYS 120, find the value ofx, ICCE 201119507(X-20) |
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| 65183. |
L6 =507 ५ कै < 5o कु o 5,. कक L oand A8 = 1 पटना A g L D =B pTorgle w0 wose gil A |
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| 65184. |
13. In the given figure, O is the centre of the circleand <BCO = 30°. Find x and y.30 |
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| 65185. |
24.) If α and β are the solutions of the equation a tan θ + b sec θ-e, then show that2actan (α + β)-42-C2 : |
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Answer» Thank you very much |
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| 65186. |
trapezium.13. In the figure, AB and DC are parallel sidesof a trapezium ABCD and ZADC 90°Given AB- 15 cm, CD-40 cm and diagonal D40 cm CAC-41 cm, calculate the area of trapeziumABCDFig. Q. 13Hint. In AADC, AD VAC2 -D40-9 cm |
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| 65187. |
) Find 960 and 961th term of the sequenceif n is not the square of a natural number966, if n is square of a natural number. |
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Answer» not right answer eska answer 320/3,13/2 hai 😊 6 1/2 is written as 13/26 1/2 =(6×2+1)/2=13/2 eska answer snd me plss |
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| 65188. |
Show that 14n cannot end with digit 0 for any natural number n. |
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| 65189. |
28 Solve -++ 2 (3 - x) 27, x € R. Also graph the solution set on the nu |
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| 65190. |
Find the area of trapezium ABCD as given in the figure in which ADCE is a rectangle.Hint: ABCD has two parts)3.3 cm3 cmv)8 cm |
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Answer» area of trapezium=area of rectangle+ area of triangle= (8)(3) +1/2(8)(3)=24+12=36cm^2 |
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| 65191. |
heing1Ucm.Findthe area of the A 15 cmBtrapezium.In the figure, AB and DC are parallel sidesof a trapezium ABCD and LADC90Given AB 15 cm, CD-40 cm and diagonal D40 cmAC-41 cm, calculate the area of trapeziumABCD13.Fig. Q. 13Hint. In AADC, AD VAC-DC412-40-9 cmNow, Area of trap. ABCD ADx(B+DC)] |
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Answer» Thanks |
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| 65192. |
8) A trapezium ABCD has two right angles atA and D. Measurements in centimetres aregiven as shown in the figure Find the areaof the trapeziumA 20 om27 cm |
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| 65193. |
In given tigure ABCD is a trapezium in which AB l DC and DA L AB. If AB13 cm,AD 8 cm and CD 7 cm, then find area of trapezium.13 |
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Answer» Area of trapezium= 1/2 × sum of parallel sides× height.= 1/2 × ( AB + CD ) × AD= 1/2 × ( 13 + 7 ) × 8 = 1/2 × 20 × 8 = 10 × 8= 80 cm² Area = 0.5*height*sum of parallel sides= 0.5*8*(7+13)= 0.5*8*20= 8*10= 80 sq cm |
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| 65194. |
(0 पथ + ८0६ 509 - L0€ UIS T6T §— oGP 507 + ८0६दण8 &T |
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| 65195. |
(7) Find the highest number that can divide 184 and 327 after adding 4 and 2 tothem respectively.Hint. 184 + 4 = 188, 327 + 2 = 329] |
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Answer» 184+4=188. 327+2=329find hcf329=188*1+141188=141*1+47141=47*3+0HCF=47hence highest no is 47 |
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| 65196. |
1) 16 is what percent of 507 |
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| 65197. |
x1- Solve:x+2.32 |
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Answer» 1 is the correct answer of this question x=1 is the correct answer x=1is correct and best answer 👍 👍👍 👍 (X+2)/3-(X-1)/2=1[(2X+4)-(3X-3)]/6=12X+4-3X+3=1*6-X+7=6-X=6-7-X=-1X=1 |
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| 65198. |
By how much should 23.754 be increased to get 507 |
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| 65199. |
10x+5x=30 find x=? |
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Answer» 2 is the correct answer |
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| 65200. |
o. If Q1 = 1 then the system of equations 47 x + b y + 1 = 0 and a 2x + b2y + C2 = Ohas howa2b2 C2many solutions? |
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Answer» For the above solution the lines are inconsistent hence no solution exists. |
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