InterviewSolution
Saved Bookmarks
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.
| 73051. |
Wâ e1o ] o TO=0l+ XS~ % | ༠1w |
|
Answer» x² - 3√5x + 10 = 0 x² -√5x -2√5x + 10 = 0 x(x - √5) -2√5 ( x - √5) = 0 (x - 2√5) ( x -√5) = 0 So, x = 2√5 and x = √5 are roots |
|
| 73052. |
Short Answer Que4. Find the zeroes of the following quadraticpolynomials and verify the relationshipbetween the zeroes and the coefficients(i) f(x) x -3x-28(ii) f(x) = 2x?-x-6[CBSE-12-MA2-032]RGREEN 100% SUCCESS!NMATHEMATICS-10 |
|
Answer» i)x²-3x-28=f(x)f(x)=x²-7x+4x-28f(x)=x(x-7)+4(x-7)f(x)=(x+4)(x-7)zeroes are -4 , 7 ii)2x²-x-6=f(x)f(x)=2x²-4x+3x-6f(x)2x(x-2)+3(x-2)f(x)=(2x+3)(x-2)zeroes are -3/2 , 2 |
|
| 73053. |
VERY SHORT ANSWER TYPE QUESTIONSng a circle. Find the length of BC.In fig. AABC is circumscribi3 cm9 cmin4 cmo cm21 .25c |
| Answer» | |
| 73054. |
in the triangle ABC the bisector of Angle B and angle C intersect each other at point O prove that angle BOC barabar 90 degree 1upon 2 < A |
|
Answer» Ray BO is the bisector of angle CBE Therefore,angle CBO=1/2of angle CBE=1/2(180-y)=90-y/2 (1)Similarly,ray OC is the bisector of angle BCD Therefore,angle BCO=1/2 of angle BCD=1/2(180-z)=90-z/2 (2)In triangle BOC,angle BOC+BCO+CBO=180 (3)Substituting (1,2,3) you getAngle BOC+90-z/2+90-y/2=180Angle BOC=z/2+y/2=1/2(y+z)But,x+y+z=180 (angle sum property)y+z=180-xAngle BOC=1/2(180-x)=90-x/2=90-1/2angle BAC |
|
| 73055. |
A well d domeler 3m is dua n deep. The courts lakenout olt Was been serea evens al aand tlle shape |
| Answer» | |
| 73056. |
5. The sum of two numbersis 18. Tlle SuiTO6.If α , β are the roots of the quadratic equation 6x2-6x + 1-0, then |
| Answer» | |
| 73057. |
2000.7% less than the cost of the trouser, then what is the COST UNU STIIL20 |
|
Answer» .ok wait for some days question is not come clear.. |
|
| 73058. |
is adrgye lind he value of y301M5 is a multiple of 9 and two values are obtaincd by M. Why? Where Misagit. |
|
Answer» when a number is divisible by 9 sum of digits is divisible by 931M5 simplified to 3+1+5+M= 9+M= so possible M are 9, 0 |
|
| 73059. |
git u a metres from the ground4322a33. Atoweris503 mhigh. The angle of elevation of its top from a point 50maway from its foot has measure |
|
Answer» As height of tower is 50√3 m Distance of observer 50 m In a right angle triangle perpendicular and base is given. and we know that from trigonometric ratio tan thetha = perpendicular/ base tan thetha = 50√3/50tan thetha = √3 angle of elevation = tan-1 (√3)angle of elevation = 60° |
|
| 73060. |
Very Short Answer Type Que4. Determine which of the folii) +32 +3x +15. Use factor theorem to det(i) , p(x) = x4- |
|
Answer» Kindly post one question per post to experience the instant solution feature of scholr at its best. |
|
| 73061. |
99 = xs-x7 |
|
Answer» 2x-5x = 66-3x = 66x = 66/(-3)= -66/3= -22 2x-5x=66-3x=66x= 66/(-3)x= -66/3x= -22the answer is correct.like my answer 2 x minus 5 is equals to be minus b equals to b b x equals to 66 upon 3 is equals to minus 22 thank you 2x-5x=66-3x=66x=-66/3x=-22 is the correct answer. -22 x=-11is the correct answer - 22 answer please give me a like |
|
| 73062. |
NTEGER:8. The reading of a spring balance when a block issuspended from it in air is 60 N. This reading ischanged to 40 N when the block is submerged in water. The specific gravity of block is |
| Answer» | |
| 73063. |
In the figure given ; angle A-75 degree angle B- 45 degree find the measure of angle ACD |
| Answer» | |
| 73064. |
In Fig, 6.17,(0) and (i), DE| BC. Find EC in (i) and AD in (ii).1.8 cm1.5 cm 1 cm7.2 cm3 cm5.4 enFig. 6.17 |
|
Answer» DE is parallel BcAD/DB=AE/ECso, 1.5/3=1/ECEC1.5=3Ec=3/1.5Ec=2 |
|
| 73065. |
2. Identify the following sets as finite or infinite.(1) X = The set of all districts in Tamilnadu.(ii) Y = The set of all straight lines passing through a point.(iii) A = { x:xe Z and x <5}(iv) B = {x:x2-5x+6 = 0, xe N} |
|
Answer» 1st finite 2nd infinite 3rd infinite 4th finite 1) finite set2) infinite set3) finite Ste4) finite set |
|
| 73066. |
TCISe.) .Find the equation of a straight line passing through the point (4, 5) and equallyinclined to the lines 3x 4y+7 and 5y 12x+6.ancale between the fines |
| Answer» | |
| 73067. |
.Theratiobetweenthecurvedsurfaceand total surface of a cylinder is 1 :2. Find thevolume of the cylindet, given that its total surface area is 616 cm2. |
|
Answer» lovely |
|
| 73068. |
respectively.9 If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum offirst n terms |
| Answer» | |
| 73069. |
\frac{2^{3} \times 3^{4} \times 4}{3 \times 32} |
|
Answer» Ans=27 |
|
| 73070. |
Show that any positive odd integer is of the form 6+1, or 6q+3, or 6q+5, where q issume nteger2.-3. or |
| Answer» | |
| 73071. |
\frac { 2 ^ { 3 } \times 3 ^ { 4 } \times 4 } { 3 \times 32 } |
| Answer» | |
| 73072. |
11. In the given figure, AD 13 cm, BC 12 cm,AB 3 cm and angle ACD angle ABC 90Find the length of DC. |
| Answer» | |
| 73073. |
m me given figure,. AD1 3 cm, BC st 12 on,3ent and angle ACD = angle ABC = 900Fihd the length of Do |
| Answer» | |
| 73074. |
(1) 2 tan®45° + cos? 30° — sin? 60°sin 30° + tan 45° — cosec 60°sec 30° + cos 60° + cot 45°(४) |
|
Answer» Tan45=1cos30=√3/2sin60=√3/2cosec60=2/√3sec30=2/√3 hence 1)=2(1)+3/4-3/4=22)1/2+1-2/√3/2/√3+1/2+1=3/2-2/√3/2/√3+3/2=3√3-4/3√3+4 |
|
| 73075. |
38.1&.DFind the equation of the straight lines passing through the point (1.2) and making aangle of 60 with the line x+y+2 |
| Answer» | |
| 73076. |
A park is 40m long and 30m broad. Find its area and the cost of grassing it 0Rs. 100 per square metre. |
| Answer» | |
| 73077. |
)12.6 ellnd the radius of a circle whose circumference is given below110 cm(ii) 132 cnm(ii) 4.4 m(iv) 11 m |
| Answer» | |
| 73078. |
\frac { \operatorname { tan } 45 ^ { \circ } } { \operatorname { cosec } 30 ^ { \circ } } + \frac { \operatorname { sec } 60 ^ { \circ } } { \operatorname { cot } 45 ^ { \circ } } - \frac { 5 \operatorname { sin } 90 ^ { \circ } } { 2 \operatorname { cos } 0 ^ { \circ } } = 0 |
| Answer» | |
| 73079. |
amount spent by RasRadhuika's mother gave her t 10.50 and her father gave her t 15.80, find the totalnount given to Radhika by the parens |
| Answer» | |
| 73080. |
Thus, the number of. Find the value of x:. Are the following in proportion. . Are the following in continued. Find the third proportion to.. Find the fourth proportion to(a) 21:28:: x 52(a) 30, 35, 40, 45(a) 4, 6, 9(a) 9 and 4(a) 8, 12, 16The ratio of |
|
Answer» 21:28::X:523/4=X/52X=3*52/4=3*13=39 find the value of x if x-8=21 |
|
| 73081. |
Vill 12796 (viii) 55555 () 509025. Observe the following pattern1+3 = 221+3+5 = 321+3+5+ 7 = 42and write the value of 1+3+5 + 7 +9+... upton terms. |
| Answer» | |
| 73082. |
( \sqrt { 32 } - \sqrt { 5 } ) ^ { 1 / 3 } ( \sqrt { 32 } + \sqrt { 5 } ) ^ { 1 / 3 } |
| Answer» | |
| 73083. |
1. State the property that is used in each of thefollowing statements?G) If all b, then 21 45.(ii) If 24|= 1.6, then a ll b.(ifi) If 44+ 45 180°, then a ll b.4 |
|
Answer» ans |
|
| 73084. |
tion should a line be drawn through the point (1, 2) so that its pointshou15, In whatofintersection with the line x + y = 4 is at a distance-from316. A straight line moves so that the sum nf t |
|
Answer» 🖕🏻🖕🏻🖕🏻🖕🏻🖕🏻 ho gya kr li bakwas ye tumhari bakwas ke liye nhi h agr nhi aata toh reply krna zaroori nhi h |
|
| 73085. |
2. Find the equation of the straight line at a distance of 3 units from the origin suchthat the perpendicular from the origin to the line makes an angle tan1with12 |
| Answer» | |
| 73086. |
5. The distance of the line 3x -y 0 from thepoint (4, 1) measured along the straight linemaking an angle of 1350 with the x-axis isg (a) 11/211/2411/22(d) 9/2 |
| Answer» | |
| 73087. |
EXERCISE 15.11. A parkis 40 m long and 30 m broad. Find its area and the cost of grassingit 1 Rs 00 per square metre. |
|
Answer» Thanks |
|
| 73088. |
5. A swimming pool is 50 m in length, 30 m in breadth and 2.5 m in depth. Find the cuof cementing its floor and walls at the rate of27 per square metre. |
| Answer» | |
| 73089. |
ofwatercahasquarecohtaiferislue20ella0. How many litres1. The length, breadth and height of a room are in the ratio 3:2: 1.Ifits volume is 1296 m3, find its breadth. |
|
Answer» Volume = lbh Let l, b, h be in the ratio 3:2:1. Then, l = 3h, b = 2h. Volume = (3h)(2h)(h)=> 6h³ = 1296=> h³ = 216=> h = 6cm. Breadth = 2h = 12cm Please hit the like button if this helped you. |
|
| 73090. |
tan 45Q. 21. Evaluate cosec30+sec 60cot 452 sin 90cos 60 |
|
Answer» tan45/cosec30 + sec30/ cot45 - 2sin90/cos60= (1)/(2) + (2/V3)- (2)(1)/(1/2)=1/2+2/V3-(2/2)=1/2+2/v3-1=V3-4-V3/V3=v3(1-4-+1)/v3=2 tan45/ cosec30=1/2; sec30/cot45=2/V3/1=V3/2; 2sin90/ cos60; 2(1)/1/2=4, ; 1/2 x V3/2x4=1/2 × V3/2×4=V3/4×4=V3 |
|
| 73091. |
I prove that Ras ARITtem' Te = I205 (II) |
|
Answer» LHS = tan -1(root x) = 1/2 x 2tan-1(rootx) = 1/2 x cos-1 ((1- (root x)2)/ (1 + (root x)2 ) ) = 1/2 cos-1 ( 1- x / 1+ x) = RHS Hence proved |
|
| 73092. |
A fraction bears the same ratio toas u does27 7to The fraction is:9745453521 |
|
Answer» Hit the like button |
|
| 73093. |
7.Showthat2- 1 is divisible by 8, if n is an odd positive integer.18. If the zeroes of the nolvnomial 3 321 are a-h a'nt h find a and |
|
Answer» Ans :- Given⇒ n is an odd positive integer.Proof⇒We know that an Odd Positive Integer nis always written in the form of (4k + 1) or (4q + 3) or (4q + 5) and so on. If n = 4k + 1Then, n² - 1 = (4k+ 1)² - 1= 16 k² + 1 + 8k - 1[∵(a + b)² = a² + b²+ 2ab]= 16k² + 8k= 8k(2k + 1) Hence, it is divisible by 8. If n = 4k + 3Then, n² - 1 = (4k + 3)² - 1= 16k² + 9 + 24k - 1= 16k² + 24k + 8= 8(2k² + 3k + 1) Hence, it is also divisible by 8. If n = 4k + 5Then, n² - 1 = (4k + 5) - 1= 16k² + 25 + 40k - 1= 16k² + 40k - 24= 8(2k² + 5k - 3) Hence, it is also divisible by 8. Now, For any value of n, n² - 1 is always be divisible by 8.
|
|
| 73094. |
(viii)37x+ 29y = 45;29x + 37y=21 |
| Answer» | |
| 73095. |
EXAMPLE 6 After covering a distance of 30 km with a uniform speed there is some defect in a trainengine and therefore, its speed is reduced to 4/5 of its original speed. Consequently, the train reachesits destination late by 45 minutes. Had it happened after covering 18 kilometres more, the train wouldhave reached 9 minutes earlier. Find the speed of the train and the distance of journey |
| Answer» | |
| 73096. |
In the figure, ABC-69 and ACB = 31°. Find BDC. |
| Answer» | |
| 73097. |
4 The costof fencing a rectangular field atfenc30 per metre is? 2400. If the length of the field is24 m, then its breadth islaj 8 m(b) 16 m(c) 18 m(d) 24 m |
| Answer» | |
| 73098. |
encing it at ?30 per metre. The area of a rectangular field is 3584 m2 and its length is 64 m. A boy runs atfeld at the rate of 6 km/h. How long will he take to go 5 times around 112roundurnach measuri |
| Answer» | |
| 73099. |
A wooden sheet is 15 m long and 6 m broad. It has to be painted on bothsides. Find the cost of painting at 30 per square metre. |
|
Answer» Given:-the wooden sheet is 15 m long and 6 m broad. => Area of the wooden sheet=(15×6) m²=90 m² ∴Cost of painting both the sides at Rs 30 per square metre=Rs(2×90)×30=Rs 5400 |
|
| 73100. |
By what number should(-3/2)^-3 be multiplied so that product is 9/8^-2 |
|
Answer» hi |
|