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65501.

The diameter of the moon is approximately one fourth of the diameterof the earth. What fraction of the volume of the earth is the volume ofEhe moon?

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Let diameter of earth = D

diameter of moon =D/4

=) radius of earth = D/2

=) radius of moon = D/8

earth and moon are like spheres.

so volume 0f earth = 4/3×π(D/2)^3

and volume of moon = 4/3 × π(D/8)^3

so ratio of their volumes

= 512/8 = 64:1

curved surface area of earth = 4π(D/2)^2

curved surface area of moon = 4π(D/8)^2

so ratio of their surface area

= 64/4 = 16:1

65502.

In Δ ABC, bisectors of <A and <B intersect at point O. If <C-700. Find measureof ZAOB.7-.

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65503.

ultion - B (16 mark(Question numbers 7 to 14 carry7 Find the joint equation of the lines xty-3-0 and 2xty-1-x)dy-1

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65504.

length of common chord of two intersecting circles is 30cm if diameter of these circles are 50cm and 34cm find the distance between their centres

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So distance between their centres is OC+OC'=28 cm

65505.

Iffrom any point on the common chord of two intersecting circles, tathe circles, prove that they are equal. 4ngents be drawn to

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65506.

Phove that the line of centres of two intersecting circles subtends two points of intersection.

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65507.

erauilusrEhecirelethe commonchord of two intersecting circles, tangents be drawn toIfrom any point onbe cncles, prove that they areoqual.5. If thesides cf a quadrilateral toucha circle, prove that thumnf

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65508.

(2) In the figure, circle with centre O touches thesides of ZACB at points A and B. IfZ ACB - 65°, then find ZAOB.ASolution : -

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Angle AOB =360°minus angle OAC minus angle OBC minus angle ACB.=360°-90°-90°-65°.=180°-65°=115°

115 degree is the best answer

65509.

7. In the given figure, ZAOB : BOC 2:3.<AOC = 75°, then find the measures of LAOB andZBOC.72019

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Let,∠AOB=2x and∠BOC=3x∠AOC=∠AOB+∠BOC=75°or, 2x+3x=75°or, 5x=75°or, x=15°∴,∠AOB=2×15°=30° and∠BOC=3×15°=45°

65510.

23. Two circles with centres O and O'intersect at two points A and B. A linePQ is drawn parallel to OO through A or B, intersecting the circles at Fand Q. Prove that PQ 200

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65511.

23. Two circles with centres O and O' intersect at two points A and B. A linePQ is drawn parallel to OO' through A or B, intersecting the circles at Pand Q. Prove that PQ = 200'

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65512.

7.If a dealer sells an item for 141, his losswould be 6%. In order to earn a profit of10%, he should sell it for(a) *150(b) 155(c) 160(d) *165

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the answer of the question is (c)

c) is the right answer of the following

a) is correct answer

65513.

BDIn the right triangle ABC, ZA = 90° and AD I BC. ThenDC

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65514.

explain nutrition in amoeba

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The mode ofnutrition in amoebais Holozoic.Nutritionin anamoebaoccurs through a process called phagocytosis where the entire organism pretty much engulfs the food it plans on eating up. Asamoebais a unicellular organism, it does not have any specialized organ for the mechanism ofnutrition.

65515.

in the right triangle ABC, ZA 90 and ADL BC. ThenBD/DC

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65516.

uu Surtace area of the cone8. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side12 cm. Find the volume of the solid so obtained9. If the triangle ABC in the Question 7 ahfind the voluumn u

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65517.

the adjoining figure, ABCD is a quadrilateral in whichInnd S are mid-points of AB, BC, CD and DArespectively. AC is its diagonal. Show that(0 SR I AC and SR-7AC2(ii) PQ = SRPORS is a parallelogram.d hr inining the mid-points of the adjacent sides of a

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65518.

After allowing a discount of 16%,there was gain of5%.Bywhat %marked price was more than the cost price

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65519.

toy.5) A tea set was bought for528 after getting a discount of 12% on its marked price. Findmarked price of the teą set.F ot carethe cost price and allows a discount of 20%

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65520.

ABat the tangent toIn a right triangle ABC in which <B = 90°, a circle is drawn withdiameter intersecting the hypotenuse AC and P. Prove thcircle at P bisects BC.the

Answer»

ΔABC is a right angled triangle.∠ABC = 90°.A circle is drawn with AB as diameter intersecting AC in P, PQ is the tangent to the circle which intersects BC at Q.

Join BP.

PQ and BQ are tangents drawn from an external point Q.

∴ PQ = BQ -------------- (1) (Length of tangents drawn from an external point to the circle are equal)

⇒ ∠PBQ = ∠BPQ (In a triangle, angles opposit to equal sides are equal)

Given that, AB is the diameter of the circle.

∴ ∠APB = 90° (Angle in a semi-circle is a right angle)

∠APB + ∠BPC = 180° (Linear pair)

∴ ∠BPC = 180° – ∠APB = 180° – 90° = 90°

Consider ΔBPC,

∠BPC + ∠PBC + ∠PCB = 180° (Angle sum property of a triangle)

∴ ∠PBC + ∠PCB = 180° – ∠BPC = 180° – 90° = 90° ----------- (2)

∠BPC = 90°

∴ ∠BPQ + ∠CPQ = 90° ...(3)

From equations (2) and (3), we get

∠PBC + ∠PCB = ∠BPQ + ∠CPQ

⇒ ∠PCQ = ∠CPQ (Since,∠BPQ = ∠PBQ)

Consider ΔPQC,

∠PCQ = ∠CPQ

∴ PQ = QC ----------- (4)

From equations (1) and (4), we get

BQ = QC

Therefore, tangent at P bisects the side BC.

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65521.

hisactionQ.15_AB is a diameter and AC is a chord of a circle with centre O such that zBAC= 30° . Thetangent at C increase extended AB at point D. Prove that BC BDQ.161 In a right triangle ABC in which LB-900 , a circle is a drawn with AB as diameterintersecting the hypotenuse AC at P. Prove that the tangent to the circle at P bisects BC.

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65522.

25.Prove that if a line is drawn parallel to one side of a ththen it divides the two sides in same ratio.is drawn parallel to one side of a triangle intersecting the other two sides

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65523.

4. If fromany point on the common chord of two intersecting circles, tangents be drawn tothe circles, prove that they are equal.

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65524.

4. If from any point on the common chord of two intersecting ercles, tangents be drawn tothe circles, prove that they are equal

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I am not able to understand that how you wrote PT^2=PB×PA.

65525.

4 If from any point on the common chord of two intersecting circles, tangents be drawn tothe circles, prove that they are equal.

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65526.

ABCD is a square in which AC andBD are diagonals intersecting at OFind ZAOB.

Answer»

Here is your answer:

In ΔAOB and ΔCOB,

AB = BC (we know that the sides of the square are equal)

BO = BO (Common)

OA = OC (The diagonals of square will bisect with each other)

ΔAOB ≅ ΔCOB (SSS)

∠AOB = ∠COB [CPCT]

∠AOB + ∠COB = 180° (this is the linear pair)

∠AOB + ∠AOB = 180°

∠AOB = 90°

65527.

LEVEL - 4: Observe the histosomaand answer the following questionsgiven below :dotuto4+125 130 135 NO 145 150 155 160ris what information is beinghistogram ?given by the

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No 7 is most bigest that question Bro

hiii and good night my

No 7 is most biggest that question Bro.

65528.

After allowing a discount of 79% on the marked price, an article is sold for Rs 555.Find its marked price?

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thank you for this question

65529.

In right angle triangle ABC, 8em, 15 cm and 17 em are therespectively. Then, find out sin A, cos A and tan A.lengths of AB, BCandCA

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65530.

In right angle triangle ABC, 8em, 15 cm and 17 cm are the lengths of AB, BC and Crespectively. Then, find out sin A, cos A and tan A.DD = 25 cm and LO = 9

Answer»

According to the question,

AB = 8 cm, BC = 15 cm, AC = 17 cm

According to the diagram,

AB = AdjacentSide, BC = Opposite Side, AC = Hypotenuse.

Now we need to find Sin A, Cos A, and Tan A.

Let us calculate Sin A first,

Sin A = Opposite / Hypotenuse

=> Sin A = BC / AC

=> Sin A = 15 / 17

Cos A = Adjacent / Hypotenuse

=> Cos A = AB / AC

=> Cos A = 8 / 17

Tan A = Opposite / Adjacent

=> Tan A = BC / AB

=> Tan A = 15 / 8

65531.

Construct a right triangle ABC, right angle at B, in which BC = 4cm and AC+AB=8cm.

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65532.

he answers of the questions given below.(i) How many mid points does a segment have ?(A) only one(B) two(C) three(D) many

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infinite number of points

if a combination reaction how many products are formed?

65533.

Through the mid-point M of the side CD of a parallelogram ABCD, the line BMis drawn intersecting AC at L and AD produced at E. Prove that EL = 2BL.

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ΔBCM & ΔEDM are similar. MD=CM => BC = DE, as AD = BC, AE = 2 BCΔACL & ΔAEL are similar. EL / BL = AE / BC = 2So EL = 2 BL

65534.

9¢ ()9=aa-s=v 47 bl Bl P R ®

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a=5-ba+b=5-------------(1)b=6÷aab=6---------------(2)a³+b³=(a+b)(a²+b²-ab) =(a+b)(a²+b²+2ab-3ab) =(a+b)((a+b)²-3ab)put values from eq 1 and 2a³+b³=5*(5²-3*6) =5*(25-18)=35

a=5-ba+b=5.........(1)ab=6............(2)eq(1) or (2)......a³+b³=5*(5²-3*6)=5*(25-18)35 ans

65535.

The two lines x -ay + b, z - cy +d; andx -a'y+b', z c'yd' are perpendicular toeach other if1) aa' + cc'1(2006)2) aa' + cc - 1aCa c3)4)a, ca c

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65536.

0スー→ x.Poikん/4K-aa,enHe sleiis

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65537.

4ABC0)% amarr wrf.twi LC-90..Aa-9a, ac-12 m.

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65538.

4 G -a) is a factor of– aa + 2xta-5find ten value of (a).

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your answer is wrong

f(a)= a^3-a^3+2a+a-13a-1will be the answer

65539.

>3.24 + 0.002 न ? का मान(A)1620 (B)1620२ aa N IMw. 4D)1620तल. O A

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Option B is the correct answer.

65540.

2. Compute A Busing partitioningſi 2011A = 4 1 3 22 1 3 0Baa

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65541.

21. M is the mid-point of side CD of a parallelogram ABCD. The line BM is drawn intersecting ACat L and AD produced at E. Prove that EL = 2B1.LM

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take sushi hdhgdh hehehe bdhd

Abe ans chahiye pagleti nhi

sorry galti se bheja Gaya

it's ok

thanks you bhai it's Shreyansh

Kon shreyansh

sorry bhaiya ..... ..

65542.

lectiy.Ashop gives 20% discount. What would the sale price ofeach of these be?(a) A dress marked at 120(c) A bag marked at 2501(b)A pair of shoes marked at 7502. A table marked at 15,000 is available fort 14.400. Find the discount given andthe discount per cent., Analmirahis soldat? 5,225 after allowing a discount of5%.Findits marked price.

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65543.

Marked pPIUMarked price-77,800 and discount10%

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discount will be 7800*10/100780 rupees

no bad maths

no bad maths

65544.

In right angle triangle ABC, 8 cm, 15 cm and 17 cm are the lengths of AB, BC and CArespectively. Then, find out sin A, cos A and tan A

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65545.

In right angle triangle ABC,8 cm, 15 cm and 17 cm are the lengths of AB, BC and CArespectively. Then, find out sin A, cos A and tan A.

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65546.

2. Choose the correct answer from the given alternatives:In a triangle ABC, 4A-50 and AB -AC, then 4Bis1S-A. 50° B. 60° C. 40° D. 70°

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As AB = AC so angle B = angle CA + B + C = 180So 2B = 100, B =50

65547.

ता थे iy 24 th23 el o 57T Eh %0Z £ 3023 %0६ 2७ ७५% ६७७४ 1५% w2l &Y

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65548.

In right angle triangle ABC, 8 cm, 15 cm and 17 cm are the lengths of AB, BC and CArespectively. Then, find out sin A, cos A and tanA.DOD are PO = 7 cm, QR = 25cm and 2P = 900

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65549.

In questions given below out of four alternatives,choose the one which can be substituted for thegiven word/sentence.86. A person pretending to be somebody he is not86.A. MagicianC. LiarB. RogueD. Imposter

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D. Imposter

An imposter is a person who pretends to be someone else in order to deceive others.

Rogue is a dishonest person.

65550.

5. In ΔPQR, PQQR15 cm. Find PR(the triangle is right angled at Q).

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