Explore topic-wise InterviewSolutions in .

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.

64051.

lde乓gur,arta oftriangle APB1s10crn'. Find the area oftriangle ABDandectanle ABCD

Answer»

we know that within two parallel lines.. if we keep the base of triangle fixed. then the triangle formed between those two lines will always have same area... ( height will always be same.)

so ∆APB amd ∆ADB are between the same parallel lines.. and have same base AB SO AREA of ∆ABD = 10cm²

and area of reactangle ABCD = 2*10 = 20cm².

10cm2

any other answers

these are correct answers check it.

kk tnk uu

64052.

25. In figure, the sides AB, BC and CA of triangle ABC touch a circle-with centre Oand radius r at P. O and R respectivelyProve that:(i) Area (AABQ(Perimeter of A4BC)xiah other on either side

Answer»

Since the lengths of tangents drawn from an exterior point to a circle are equal.∴ AP = AR , BP = BQ, CQ = CRNow, AB+CQ = AP+PB+CQ = AR+BQ+CQ (∵ AP=AR and PB=BQ) =(AR+CR)+BQ (∵CQ=CR) = AC+BQ∴ AB+ CQ = AC+BQ

Area (tri . ABC) = Area (tri .AOB) + Area (tri .BOC) + Area (tri . COA)

= 1/2 AB x r + 1/2 BC x r + 1/2 CA x r

= 1/2 r (AB + BC + CA)

-= 1/2 r ( perimeter of triangle ABC )

Like my answer if you find it useful!

64053.

, aand vol. 6whena=2Resulestitating IDX-2b= 14+3

Answer»

2(x-2)=12x-4=12x=1+42x=5x=5/2

y+3=1y=1-3y=-2

64054.

The number ofstraight line passing through two points is(a) 2 (b) 3(c)-1 (d)v (numerous)Zx and Zy are two suplementory angles. If x 75 thevalue of Zya) 950 (b) 90 (c) 150 (d) 1050(oftriangle ABC. ZB-290° and ZA :LC-2:1 , the value ofZA İsa) 30° (b) 60 (c) 90° (d) 450Two consecutive angles of a parallelogran are 4x and 4y. If x60° then Ly is-a) 309 (b) 120 (c) 60 (d) 4be RI ()If x -11 and y -1, the value ofx?+2xy+y' is-a) 10 (b) 12 (c) 100 (d) 1212Show that 0.3 is a rational number2+2-4Find the value of-a)-3 +-345 (b) 12520Fill up the gapes using the equation x + 2y 63 -IS

Answer»
64055.

16-of3. If the ratio of length, breadth and height of a cuboid is 5:3:1 and its vol4. (a) What will happen to the volume of a cuboid if its length is halved, breadth is120 m, find its dimensions.0and height is doubled?(b) A godown is in the form of a cuboid of measures 60 m x 40 m x 30 m. Howcuboidal boxes can be stored in it if the volume of one box is 0.8 m3?the

Answer»
64056.

A circle is inscribed in a AABC the sides AB, BC and CA of AABC touch thatcircle with centre 'O' and radiusAC+BRat P.Q.R respectively. Prove thatAB + CQ

Answer»

I hope your doubt is solved!

64057.

Visualise 3.765 on the number line, using successive magnification

Answer»

धन्यवाद

64058.

Visualize 3.76 on the number line using successive magnification.

Answer»
64059.

1 Visualise 3.765 on the number line, using successive magnification.

Answer»
64060.

e ro1.Visualise 3.765 on the number line, using successive magnification.T.

Answer»
64061.

34.Find the perimeter and area of the shaded region shown in the figure. The four comers are circle quadrants andat the centre, there is a circle、 [Take π3 14)lanlni2emlanlan

Answer»
64062.

dd the given polgnormiaex^{3}-2 x^{2}-9 ; 5 x^{3}+2 x+9

Answer»
64063.

535)765(

Answer»
64064.

3457+765

Answer»

3457+7654222 answer

64065.

36. The diagonal of a rectangular plot is 34 mand its perimeter is 92 m. Find its area.

Answer»

Area= length× breath= a×bgiven, a^2+b^2=(34)^2a+b=92/2=46therefore (a+b)^2--2ab=(34)^22ab=(46)^2--(34)^2ab=480Area 480m^2

64066.

any one.6x 2 =12.33. Find the area of a circle whose circumference a34 Titi66cm

Answer»
64067.

\sin 765^{\circ}

Answer»

we knowsin (n ∙ 360° + θ) = sin θsin(765°)sin ( 360 × 2 + 45°)sin (45°)1/√2

64068.

The radius and height of a cone are r and h respectively, then its vol4(A) r(B) T2h3

Answer»

यदि किसी शंकु की त्रिज्या तथा ऊंचाई दी गई हो तब उसका आयतन होगा1/3πr^2h

64069.

462+765×588-57

Answer»

462+(765×588)-574622+449820-57=450225

64070.

25/In figure, the sides AB, BCand CA oftriangle ABC touch a circle with centreoand radius r at P. Q and R respectively.Prove that:(i) Area (AABQ (Perimeter of A4BC)

Answer»
64071.

value of sin 765

Answer»

value of sin 45

the value of sin 45 is 1/√2

64072.

\operatorname { sin } 765 ^ { \circ }

Answer»
64073.

किग्रा. ग्राम578 13933 765

Answer»

4

188.374

Kg Gram 578 139 - 389 765----------- ----------- 188. 374

64074.

Find the values of the trigonometric functionsin 765°

Answer»
64075.

find derivative wrt to x given x^2÷a^2 +y^2÷b^2

Answer»
64076.

vadualise 3. 765 on the numbertine, using successivemagnification

Answer»

proceed as in section 1.4 for2.665

64077.

Caicdrate the area OTAADCThe three vertices of a rectangle ABCD are A(2, 2), B(-3, 2) and C(-3, 5). Plot these points on graphpaper and find the coordinates of D. Also, find the area of rectangle ABCDQ.2

Answer»

what is your age.

64078.

veficesasthéfourthpointmakeaparallelogramofarea equal to3. ABCD is a rectangle with O as any point in its interior. If ar (AAOD)3cm and ar (AABOC) 6 cm2, then area of rectangle ABCD is

Answer»
64079.

Three vertices of a rectangle ABCD are A(3, 1), B(-3,1) and C(-3,3). Plotthese points on a graph paper and find the coordinates of the fourthvertex D. Also, find the area of rectangle ABCD

Answer»

also, find the area of rectangle ABCD

64080.

The dagonalc o a rectangle ABCD| intersect-aro- e ) c 。4-4-

Answer»

in recatngle the side bisect each other soOC = OB In ∆ OCB , let OCB = x44° + x + x = 180°2x = 180-44 = 136x = 136/2 = 68°so OAD = 68°

64081.

in rectangle ABCD AB + BC = 23 . AC + BD-34 FIND area of rectangle.

Answer»
64082.

ABCD is a rectangle in which AB : BC = 2 : 1,Mis mid point of AB. MD and MC are one-fourthsof the circles withcentres at A and B respectively. Find theratio of the area of therectangle ABCD andthe shaded portion.

Answer»
64083.

In Δ PQR, PM 15, PQ 25PR 20, NR 8. State whether lineNM is parallel to side RQ. Givereason.

Answer»

Yes it's Parallel to it becaUse parallel lines never meet And here line NM is exactly ahead to line RQ so It's obvious that they would never meet.

64084.

72283782827×87

Answer»

Ans :- 72283782827×87 =6.289 × 10^12

64085.

construct a rectangle ABCD such that AB=6 cm and BC=5.5cm

Answer»

Step1:- Draw a line segment AB of length 6 cm.Step2:- At B, draw BE perpendicular to AB.Step3:- With B as centre position and radius 5.5 cm draw an arc cutting BE at C.Step4:- With A as centre position and radius 5.5 cm, draw an arc.Step5:- With C as centre position ad radius 6 cm draws another arc cutting the previous arc at D.Step6:- Join AD and CD. Then, ABCD is the required rectangle.

please send the answer with pictures

64086.

(35) In rectangle ABCD, AB2+ BC2+ CD2AD(a) 13(b) 5(d) 26

Answer»
64087.

2. In APQR, PM = 15,PQ 25, PR = 20,NR = 8.State whether lineNM is parallel toside RQ. Give Rreason.

Answer»
64088.

x-13=87

Answer»

x-13 = 87

x = 87-13

x = 74

64089.

| 14. (i) Given 2 logio x + logio y=1, express y interms of x.(ICSE)

Answer»
64090.

87/√3

Answer»

87/√3 = 87√3 * √3/√3 = 29√3

87/root(3) = 29×3/root(3) = 29*root(3)*root(3)/root(3) = 29root(3)

64091.

(e) logio 0.00693

Answer»

-2.15926676539

64092.

87+8x=9

Answer»

87 + 8x = 98x = 9 - 878x = -78x = -78/8x = - 39/4

64093.

In Δ PQR, PM 15, po-25PR 20, NR 8. State whether lineNM is parallel to side RQ. Givereason.Fig. 1.36

Answer»
64094.

In Δ PQR, PM 15, PQ- 25PR 20, NR 8. State whether lineNM is parallel to side RQ. GivereasonFig. 1.36

Answer»
64095.

Fig. 1.33In Δ PQR, PM 15, PQ 25PR 20, NR 8. State whether lineNM is parallel to side RQ. Givereason

Answer»

Yes it's Parallel to it because parallel lines never meet And here line NM is exactly ahead to line RQ.So It's obvious that they would never meet.

64096.

2. In Δ PQR, PM = 15, PQ = 25PR 20, NR 8. State whether lineNM is parallel to side RQ. GivereasonFig. 1.36

Answer»
64097.

2. In Δ PQR, PM = 15, PQ = 25PR 20, NR 8. State whether lineNM is parallel to side RQ. Givereasonrg, 1 360 /7701

Answer»

Using basic proportionality theorem

64098.

s. Construct a rectangle ABCD whosę adjacent sides are 11 em and 8.5 cm.

Answer»
64099.

19.1.3In A POR, PM = 15, PQ = 25PR = 20, NR = 8. State whether lineNM is parallel to side RO. Givereason.Fig. 1.36BESOQOQOQ QOBOOCEDULJOOOOOOOOOOOO

Answer»
64100.

Fig. 1.33Fig. 1.342.In A POR. PM = 15, PQ = 25PR = 20, NR = 8. State whether lineNM is parallel to side RQ. GivereasonFig. 1.36

Answer»