InterviewSolution
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.
| 2701. |
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at thetop. Ignoring the thickness of the plastic sheet, determine:(i) The area of the sheet required for making the box(ii) The cost of sheet for it, if a sheet measuring 1m2 costs Rs 20.1. |
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| 2702. |
iecst or sheet for it, if a sheet measuring Im' costs Rs 20The length, breadth and height of a room are 5 m, 4 m and 3 m respeccost of white washing the walls of the room2.spectively. Find theofand the ceiling at the rate |
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| 2703. |
Volumeofacuboidis12 cm^3. Find the volume (in cm^3) of a cuboid whose sides are double ofthe cuboid. |
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Answer» volume of a coboid=l*b*hhere sine l,b and h r doubled,we can write it as(2l) (2b) (2h) which is equal to 8 (l)(b)(h)therefore ans=12*8=96cm^3 |
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| 2704. |
The dimensions of a cuboid are in the ratio 4:3:2. If the total surface area of the cuboid is4212m square. Find the volume of the cuboid. |
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| 2705. |
Exercise 6B1. If AB |l CD in each of the following, find x.3x +15°2x +30° |
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Answer» According to the figure 3x+15+2x+30 = 180=> 5x+45 = 180=> 5x = 180-45. = 135=> x = 27° 27kaisa aya hai 5x=135so x= 135/5 = ?? |
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| 2706. |
5) The length, breadth and height of a cuboid are in the ratio 4:3:2. If thesurface area of the cuboid is 832 sq. mt. Find the length, breadth andheight of the cuboid. |
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| 2707. |
30. In the given figure, the bisectors of 4B andLCofhABC meet at 1. If IPL BC, IQ LCAand IR L AB, prove that (i) IP 1Q IR, 9(ii) IA bisects ZA.0 |
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| 2708. |
29. If volume of a cuboid is 64cm' then find the total surface area of a cuboid |
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Answer» Volume=64 cm^3Let the edge of the cube be a cm.Hence, by formula,a^3=64=>a=4 cmThus,total surface area of the cube=6a^2=6*4*4 cm^2=96 cm^2 |
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| 2709. |
a cuboid has the dimensions of 4x3 x 2 units. Draw an isometric sketch of this cuboid. |
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Answer» These are 3 isometric cuboids . Each one should have different dimensions of the front face. |
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| 2710. |
Lifth ofherEXERCISE 9.4than the fourth of the number by 4 Find the number |
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| 2711. |
ui) Limă§â |
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| 2712. |
a cuboid with dimensions of 4 x 3 x 2 units. Draw an isometric sketch of this cuboid |
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Answer» These are 3 isometric cuboids . Each one should have different dimensions of the front face. |
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| 2713. |
(H . ui»[1७९५ |
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| 2714. |
Ui ?Tl ot= |
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Answer» 7x + 6 + 6x + 4 + 5x + 8 = 180°18x + 18° = 180°18x = 180° - 18°18x = 162°x = 162°/18x = 9 |
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| 2715. |
x* 4 a8 Ui |
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Answer» I don't know answer friend sorry for that come and enjoy the party in Jammu and Kashmir near the border of pakistan power power will be +so answer is x to the power 6 and 1 |
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| 2716. |
0 पहले व्यंजक में से दसरा व्यंजक घटाओ।__(i) (4xy - 9z); (3ry - 162) |
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Answer» xy+7z is the correct answer of the given question (4xy-9z);(3xy-16z)=(4xy-9z)-(3xy-16z)=4xy-9z-3xy+16z=xy+7z ans (4xy-9z);(3xy-16z)=(4xy-9z)-(3xy-16Z)=4xy-9z-3xy+16z=xy+7z is correct answer. xy + 7z is the correct answer |
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| 2717. |
ine the invese A,UI |
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| 2718. |
actorise eaciI UI(i) 6abc- 9a2c |
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Answer» i) 6abc -9a²c = 3ac(2b-3a) |
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| 2719. |
(iv) 9z =81 |
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Answer» 9z = 81 z = 81/9 z = 9 Like my answer if you find it useful! |
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| 2720. |
A manufacturer produces nuts and bolts for industrial machinery. It takes 1hour of work on machine A and 3 hours on machine E to produce a packet ofnuts while it takes 3 hours on machine A and 1 hour on machine B toproduce a packet of bolts. He earns a profit of ? 17.50 per packet on nuts and27 per packet on bolts. How many packets of each should be produced eachday so as to maxámize his profit if he operates his machines for at the most 12hours a day? Also find the maium profitCESE 2009C, 12) |
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| 2721. |
A manufacturer produces nuts and bolts fo industrial machinery, It takes 1hour of work on machine A and 3 hours on machine B to produce a packet ofnuts while it takes 3 hours on machine A and 1 hour on machine B toproduce a packet of bolts, He earns a profit of 17.50 per packet on nuts and7 per packet on bolts, How many packets of eachi should be produced eadhday so as to maximize his profit if he operates his machines for at the most 12hours a day? Also find the maximum profit.ICBSE 2009C, 12 |
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| 2722. |
Prove that \sqrt{2+\sqrt{2+\sqrt{2+2 cos\theta}=2Cos \theta |
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| 2723. |
14.test how many questions du TILA sum of 500 is in the form of denominations of 5 and 10. If the total number ofnotes is 90 find the number of notes of each denomination(Hint: let the number of 5 rupee notes be x', then number of 10 rupee notes = 90 x) |
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| 2724. |
Find the co-ordinates of the point equidistant from three given points Ap,( find a point P on y-axis which is equidistant from the point A(4, 8) and B(-6, 6.) also, find the distance APAns. 2Vans.1 anAns.(i)(i) if the point P(k-1, 2) is equidistant from the point A/3, k) and Bik S), find the value of k |
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| 2725. |
distances QR and PR.Find a relation between x and y such that the point (x, y) is equidistant(3,6) and (-3,4).at the point (x, y) is equidistant from the point |
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| 2726. |
1. Ia point N(o, 2) is equidistant from the points B(31. Ifa point A(0, 2) is equidistant from the points B(3, p) and Clp, 5), find the valuc of p. [2Mj |
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Answer» Given, AB=AC = whole root of (0-3)^2 + (2-p)^2 = whole root of (0-p)^2 + (2-5)^2 = 9 + (2-p)^2 = p^2 + 9 = 4 + p^2 - 4p = p^2 4p =4 p = 1. Substitute of p-value in AB Length of AB = whole root of (0-3)^2 + (2-1)^2 = whole root of 9 + 1 = root 10. |
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| 2727. |
EXERCISE 20L Find the locus of a point equidistant from the point (2, 4) and the yaxls |
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| 2728. |
Ithe point A(0.2) is equidistant from thepointsB(6,p)andC. If the point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), find p. Also find the length of AB. |
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| 2729. |
4 Find a point on the x-axis, which is equidistant from the points (7,6) and (3, 4),.-akls, I IS paraliel to the x-axis.Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4) |
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Answer» thanks |
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| 2730. |
2sin²63°+1+2sin²27°/3cos²17°-2+2cos²73° |
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Answer» sorry but I didn't understand |
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| 2731. |
19. Ithen evaluate1-sin) (2*2 sing)(1 + cos) (2-2cos) |
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Answer» tan x = 8/15; (H)^2 = (8)^2 + (15)^2= 64 + 225 = 289 = (17); (1- sinx)(2+2sinx) _____________________ (1+ cosx)( 2-2 sinx); = = (1- sinx)(2+2 sinx)/ (1+ cosx)(2-2sinx) = (1 + 8/17)(2+2 (8/17) / (1+ 15/17)(2+2(15/17)) = (17+8/17)(34+16/17) / (17+15/17)(34+30/17) = (25)(50)/(32)(64) = = 1250 / 2048 = 625/1024 = = 25/32 |
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| 2732. |
1€ cosec® ५6 * ™M (ते Sec®—COSy >N frey byove, dnad ootnT o b= 1 |
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Answer» Consider cosec theta - sin theta = a³⇒ !/sin theta - sin theta = a³⇒ 1 - sin² theta/sin theta = a³cos² theta/ sin theta = a³→ (1)⇒ (cos² theta/sin theta)²/³ = (a³)²/³⇒ cos⁴/³ theta/sin²/³ theta = a²→ (2)Now consider, sec theta - cos theta = b³⇒ 1/cos theta - cos theta = b³⇒ 1 - cos²theta/cos theta = b³⇒ sin² theta/cos theta = b³→ (3)⇒ (sin² theta/cos theta)²/³ = (b³)²/³⇒ sin⁴/³ theta/cos²/³ theta = b²→ (4)Multiply (2) and (4), we get(cos⁴/³ theta/sin²/³ theta)× (sin⁴/³ theta/cos²/³ theta) = a²b²→ (5)a² + b² =(cos⁴/³ theta/sin²/³ theta) + (sin⁴/³ theta/cos²/³ theta)(cos² theta + sin² theta)/(sin²/³ theta cos²/³ theta)= 1/sin²/³ thetacos²/³ thetaConsider, a²b²(a²+b²) =(sin²/³ theta cos²/³ theta)× 1/sin²/³ theta cos²/³ theta= 1 Hence proved. replacing m by a and n by b |
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| 2733. |
sin+2cos=1 ,, then prove thatcos-2sin=2 |
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Answer» Given that Sin A + 2 cos A = 1 Squaring on both sides, we get (sin A + 2 cos A)^2 = 1 We know that (a+b)^2 = a^2 + b^2 + 2ab. (sin^2 A + 4 cos^2 A + 4 sin A cos A) = 1 4 cos^2 A + 4 sin A cos A = 1 - sin^2 A 4 cos^2 A + 4 sin A cos A = cos^2 A 3 cos^2 A + 4 sin A cos A = 0 3 cos^2 A = - 4 sin A cos A ---- (1). Given 2 sin A - cos A Squaring on both sides, we get (2 sin A - cos A)^2 = 4 sin^2 A + cos^2 A - 4 sin A cos A = 4 sin^2 A + cos^2 A + 3 cos^2 A = 4 sin^2 A + 4 cos^2 A = 4(sin^2 A + cos^2 A) = 4. 2 sin A - cos A = 2.LHS = RHS. |
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| 2734. |
In a plane, the point equidistant from the vertices of a triangle is called its : |
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Answer» main ek lekhak hon in hindi The point equidistant from the vertices is called it's circumcentre circumcenter is the correct answer |
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| 2735. |
find the locus of the point which are equidistant from the point (-1,2,3)& (3,5,0)? |
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| 2736. |
x.s Ir oro D is equidistant from P(5, -3) and Ro, 6), find the values Fdistances QR and PR.h that the point x, y) is equidistant f |
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| 2737. |
(5) Determine the distance between the parallel planes below.Plane 1: 2x -6y +9z 11 Plane 2: 2x - 6y+9z-11 |
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| 2738. |
128. Distance between the two planes; 2x+3y +4z 4 and 4x +6y + 8z 12 |
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Answer» If you find this solution helpful, Please like it. thanks |
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| 2739. |
\begin{array} { l } { \text { 41. Find the distance between two parallel planes: } } \\ { 2 x + 3 y + 4 z = 4 \text { and } 4 x + 6 y + 8 z = 12 } \end{array} |
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| 2740. |
A variable plane passcs through a fixed point (a, b, c) and meets the co-ordinate axes at A, B, C. Showthat the locus of the point common to the planes drawn through A, B and C parallel to the co-ordinateplanes is +b,c-1. |
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| 2741. |
Find the equation of the plane passing through the point (2, 5, -8)and perpendicular to each of the planes 2x - 3y + 4z + 1 = 0 and4x + y - 2z +6 = 0. |
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| 2742. |
4. In the figure 10.35, name the edges of theadjoining cube which are parallel to-(i) AB(i) AE(iv) What is the point of intersection of AE and AB?iv) Are the edges AB and DH parallel to eachEHother? Why?(vi) Are edges EF and BC parallel?[Lines in the same plane are either parallel or intersecting whereas lines indifferent planes need not be so.]Fig. 10.35 |
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Answer» (i) DC, EF, HG(ii) FG, BC, AD(iii) GC, BF, DH(iv) No, they are perpendicular (v) No, they are not parallel |
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| 2743. |
14. The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distancebetween the longer sides is 6 cm, find the distance between the shorter sides. |
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| 2744. |
Solve te(1) Sum of the squares of adjacent sides ofparallelogram is 130 sq. cm and length of onof its diagonal is 14 cm. Find the length of thother diagonal. |
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Answer» thanks for helping me if possible please solve it too |
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| 2745. |
The degree of differential equation/dy),漇)'+x"y=0is4.5c) 1d) of these |
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Answer» Option ADegree of differential equation is 2 |
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| 2746. |
5 The adjacent sides of a parallelogram are 15cm and 8cm. If the distance between the lorgersides is 4cm, find the distance between the shorter sides. |
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| 2747. |
6/ The adjacent sides of a parallelogram are 15cm and 8cm. If the distance between the longersides is 4cm, find the distance between the shorter sides. |
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| 2748. |
cos-(i)cos x + cosy-2cos2 |
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Answer» By trigonometric sum identity, cos(A+B) = cos(A)*cos(B) - sin(A)*sin(B) andcos(A-B) = cos(A)*cos(B) + sin(A)*sin(B) ii) Adding both above, cos(A+B) + cos(A-B) = 2cos(A)*cos(B) iii) Now, let A = (x + y)/2 and B = (x - y)/2 ==> A + B = (x + y + x - y)/2 = 2x/2 = x and A - B = (x + y - x + y)/2 = 2y/2 = y iv) Thus replacing these in (ii) above, cos(x) + cos(y) = 2cos[(x + y)/2]*cos[(x - y)/2] [Proved] |
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| 2749. |
29. If sinr+sin y a, cos x+ cosy b show that(ii cos (I+y)- |
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| 2750. |
16t+ 20S12 t+ 4 S |
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Answer» 16 t + 20S12 t + 4S----------------28 t + 24S |
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