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62901.

15. If x and y vary inversely and x = 18 when y = 8, find x when y = 16.

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62902.

Creative Corner1. Solve this body puzzle. Enciricle the names of the body parts. There areeight in allE A RSX NHIDEY CB CMS KOOLE DY HW LTR D BSZ A T V UL PEOTEB S Nos E p c wTEGORO GLEGU V WARMSHIKF E E 1 X Y L M N 7

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ears. eyes. bnose. elbow. feet. arms. nose.

EARSFEETELBOWARMSEYESNOSELEGS

EARS, FEET, ELBOW, ARMS, EYES, NOSE, LEGS

Ear ;hand nought lips foot head

62903.

34. Tangents are drawn to the hyperbola4x2-y-36 at the points P and Q. If thesetangents intersect at the point T(0, 3) thenthe area (in sq. units) of APTQ is(1) 603(2) 36/5(3) 45/5

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62904.

RVASA CnADEF AQPR, In Fig. 7.28, ray AZ bisectsDAB as well as ZDCB.(0 State the three pairs ofequal parts in triangles BACand DAC(iü) Is ABAC ADAC? Givereasons.Fig. 7.28.

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(i) ∠ACB = ∠ACD ∠BAC = ∠DAC AC = AC(ii) Yes, the triangles are congruent.

62905.

Two dice are thrown simultaneously. What is the probability thata) 5 will not come up on either of them?b) 5 will come up on at least one?

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62906.

dlytwoofthefollowingsub-questions.oon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose oneem at random to give it to Sonali. What is the probability of the event that Sonaligets,a) a blue balloon.b) not a green balloon.

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Red=2Blue=3Green=4Total=9Probability of blue balloon=3/9=1/3Probability of not green=(9-4)/9=5/9

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62907.

18. If s and y vary inversely and x -18 when y - fd

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62908.

In Fig. 12.20, length of sides are given. Is AABC = AABD?4.5 cm4.5 cm3 cmFig. 12.20Given reasons in support of your answer.

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62909.

Ifx and y vary inversely and x = 25, when y = 3. Find y, when x = 15.

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62910.

12 in the Piause-Zi-L21213.1s-11213-ip-yes-lwhich Eudi's axion is useol.?

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angle 1 = angle 2

angle 2 = angle 3

So, angle 1 = angle 3

First Axiom: Things which are equal to the same thing are also equal to one another.

62911.

Thinking Corner1. How many sides doesa circle have ?2. Is circle, a polygon?

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1)Circle has no sides 2)No a circle is not a polygon as it has no sides.

62912.

What is the area of a parallelogram whose sides are given byzi - j and i + 5k ?

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62913.

HCF of two prime numbers is:

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HCF of two prime numbers is always (1)

HCF of two prime number is 0.

HCF of any two prime number is always 1

HCF of two prime no is always 1

HCF of two prime no is always 1

it will be always 1 and LCM Will be a*b

HCF of two prime no is always 1

62914.

te each of the following numbers as the sum of two prime numbers: 18, 47, 0.

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62915.

If p and q are two prime numbers, then their HCF is(A) 2(C) Either 1 or 21S -(B) 0(D) 1

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62916.

Two dice one blue and one red are thrown simultaneously. Find the probability ofGetting the sum of two numbers appearing on the top of the dice is equal to 9Getting both the numbers on the top as prime numbers

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62917.

61. Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of aM. U. 82)square.

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let ABCD be a quadrilateralwhere A(4,3);B(6,4)C(5,6) and D(3,5) are co ordinatesnow by section formula√((4-6)2+(3-4)2)=√((-2)2+(-1)2)=4+1=5.......(i)√((6-5)2+(4-6)2)=√((-1)2+(-2)2)=1+4=5......(ii)

⇒From (i)&(ii)we get AB = BC....(iii)similarly by section fomula AC=BD....(iv)So,we get that two adjacent sids are equal and two diagonals are equalHence, ABCD is a squareso points A,B,C,D are the angular points of a square.(Hence prooved)

62918.

354. Express as rational number with numerator,(u) 150(0) 21

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bhai ni Samjh aya

62919.

11. If U{1, 2, 3, 4, 5, 6, 7, 8, 9, A[2, 4, 6,8)and B 12, 3, 5, 7). Verify that

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62920.

Write, in as many ways as possible ,32 as the sum of two prime numbers

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Prime number : The natural numbers, which is divisible by 1 and the number itself is called a prime number.

List of prime numbers : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 and so on.

Now, 32 is an even number. We need to find 32 as the sum of two prime numbers.

The two possibilities arise :

i) 13 + 19 = 32

ii) 3 + 29 = 32

the two possibilities are 13+19=32,3+29=32

62921.

Take about 2 g barium hydroxide in a test tube. Add 1 g of ammonium chloride and mixwith the help of a glass rod. Touch the bottom of the test tube with your palm. What do youfeel? Is this an exothermic or endothermic reaction?

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The reaction between barium hydroxide and ammonium chloride is an endothermic reaction. Heat is absorbed during endothermic reaction, fall in temperature is observed.Ba(OH)2 +2NH4Cl → BaCl2 +2NH4OHThis reaction is called double displacement reaction

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62922.

11. Sarita had 24.16 m of ribbon. She had to divide it equally among four of hern00mucluistaliceWillitcoverinlfotpetrsfriends. Find theribbon each of her friend will get.

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She has to Divide in 4 parts so24.16/4= 6.04each one will get 6.04

62923.

((7/9)*(s*u^2))*(((15/7)*(s*(t^2*u)))*(((-3)/5)*(s^2*t)))

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-S^5 t^3 u^ 3 is the correct answer of the given

62924.

हू कक 2 3 न ANE U KDANK T e o S J A

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5040 iska answer Hai Ab Mujhe like karo

62925.

Find the summation of first 15 nutural oddnumbers?

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Sn = n/2 (2a + (n-1)d) = 15/2 ( 2 + 14(2)) = 15(1+14) = 225

62926.

Find the mean of first six odd numbers.

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62927.

Find the sum of first 2019 odd numbers.

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Sum of first 2019 even numbers:-a=2d=2n=2019∴S₂₀₁₉=(2019/2)[(2×2)+(2018×2)]=4078380

62928.

The arithmetic mean of the evenpositive numbers from 1 to 10 willbe

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1st 10 even numbers are 2,4,6,8,10

Mean:-

Mean = Sum of all observations / Total no.of observations

Mean = 2+4+6+8+1+12+14+16+18+20/10

Mean = 110/10

Mean = 11

wrong

62929.

Find the sum of first 'n' odd numbers

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62930.

c-a) aren00oorsan. AP' 1-:-a, b,einane-

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Like if you find it useful

Thanks a lot

62931.

det, a and G ane tube sad bo.itivee Lens2 is even

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62932.

8. Find ane commen dipponic o) an AP ahoy fivsh तेराहै | ८ 0, कह किया e |3 e हा s ¥o 62B

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17/6 = 1/2 + 7d17/6-1/2 = 7d7/3 = 7dd = 1/3

a4 = 1/2 + 3*1/3= 1/2 + 1= 3/2

62933.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. 112 DBC = 70°,< BAC is 30°, find < BCD. Further, ifAB-BC, find < ECD.ntarr nf the circle through the vertices of

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lffgh

62934.

eral whose diagonals intersect at a point E. If 4 DBCABCD is a cycliBAC is 30°, find ZBCD. Further, ifAB -BC, find 4 ECD.70°6.lic quadrilateral are diameters of the circle through the vertices of

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The region between a chord andeither of its arcs is called a segment the circle.

Angles in the same segment of a circle areequal.

For chord CD,

We know, that Angles in same segment are equal.∠CBD =∠CAD ∠CAD =70°

∠BAD =∠BAC +∠CAD =30° + 70° = 100°

∠BCD+∠BAD=180°

(Opposite angles of a cyclic quadrilateral)

∠BCD + 100° = 180°

∠BCD =180° - 100°

∠BCD=80°

In ΔABC

AB = BC (given)

∠BCA =∠CAB(Angles opposite to equal sides of a triangle)

∠BCA =30°

also, ∠BCD = 80°

∠BCA +∠ACD =80°

30° + ∠ACD = 80°∠ACD =50°

∠ECD =50°

Hence,∠BCD =80° & ∠ECD =50°

thanks

62935.

● There are two types of fertilisers F, and F2, F, consists of 10% nitrogen and 6%phosphoric acid and F, consists of 5% nitrogen and 10% phosphoric acid. Aftertesting the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogenand 14 kg of phosphoric acid for her crop. If F, costs Rs 6/kg and F, costsRs 5/kg, determine how much of each type of fertiliser should be used so thatnutrient requirements are met at a minimum cost. What is the minimum cost?

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62936.

he median of first 10 even numbers.

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62937.

What is the mean of the first 20 positiveeven numbers?

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Mean of first 20 positive numbers = sum of all observation upon total number of observation.

2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40/20 = 21

answer is 21

62938.

What is the sum of the first 214 positive evennumbers?45.903

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46 010 is the correct answer of your question.

62939.

37. Equal chords of a circle subtend equal angles at the centre.20

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Statement : Equal chords of a circle subtend equal angles at the centre.

Given : AB and CD are chords of a circle with centre O, such that AB = CD.

To prove : ∠AOC = ∠COD

Proof :In ΔAOB and ΔCOD,AO = CO [radii of same circle]BO = DO [radii of same circle]AB = CD [given]

ΔAOB ≅ ΔCOD [SSS]∠AOB = ∠COD [C. P. C. T]

Hence, Equal chords of a circle subtend equal angles at the centre.

62940.

Theorem 10.1: Equal chords of a circle subtend equal angles at the centre

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62941.

3 JP ZAboth ane abtuse angles, SnAzand Cas gFind the qua.daant ofanqle + B135

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62942.

Theones 10s: Equal chonds of a circle (or of congruent circles) are equidissantfrom the centre for cestrestheorem is true or not. For this,

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Given a circle with centre O and chords AB = CDDraw OP⊥ AB and OQ⊥ CDHence AP = BP = (1/2)AB and CQ = QD = (1/2)CDAlso ∠OPA = 90° and ∠OQC = 90°Since AB = CD⇒ (1/2) AB = (1/2) CD⇒AP = CQIn Δ’s OPA and OQC,∠OPA = ∠OQC = 90°AP = CQ (proved)OA = OC (Radii)∴ ΔOPA ≅ ΔOQC (By RHS congruence criterion)Hence OP = OQ (CPCT)

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62943.

\left| \begin{array} { c c } { 2 } & { 3 } \\ { 4 } & { 5 } \end{array} \right| = \left| \begin{array} { c c } { x } & { 3 } \\ { 2 x } & { 5 } \end{array} \right|

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thanks bro

62944.

\left| \begin{array} { c c c } { 3 } & { 2 } & { 5 } \\ { 4 } & { 5 } & { 6 } \\ { 7 } & { 8 } & { 9 } \end{array} \right|

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62945.

UNDERSTANDING ELEMENTChe ach one of the following angles as right, straight, acute, obtuse or reflex:5.5 Measuring AnglesThe improvised 'Right-angle tester' we made is helpful to compare angles withright angle. We were able to classify the angles as acute, obtuse or reflex.But this does not give a precise comparison. It cannot find which one amongthe two obtuse angles is greater. So in order to be more precise in comparisonwe need to measure the angles. We can do it with a 'protractor'.The measure of angleWe call our measure, 'degree measure'. One complete revolution is divideinto 360 equal parts. Each part is a degree. We write 360° to say three hundresixty degrees'Think, discuss and writeHow many degrees are there in half a revolution? In one right angle? In

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(e). Is right answer

(e) is the right answer of this question

62946.

50. Find the sum of first 2019 even numbers.

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Sum of first 2019 even numbers:-a=2d=2n=2019∴S₂₀₁₉=(2019/2)[(2×2)+(2018×2)]=4078380

62947.

\left| \begin{array} { c c c } { 0 } & { a } & { - b } \\ { - a } & { 0 } & { - c } \\ { b } & { c } & { 0 } \end{array} \right|

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यूएचएचबीबीजेकेआईयूइजभूजमोक

7 ka answer nehi Yaya hai

62948.

54. The graph of y = ax2 + bx + c is shown in thegiven figure. Which of the following is correct?Y-b -D2a 4a)(1) a > 0, b < 0 and c> 0(2) a < 0,6 <0 and c < 0(3) a < 0,6 > 0 and c < 0(4) a > 0, b>0 and c> 0

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62949.

Theorem 10.1 : Equal che ds of a circle subtend equal angles at the centre1. R

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Given : In a circle C(O,r), chord AB = chord CD.

To Prove :∠AOB =∠COD.

Proof : In△AOB and△COD

AO = CO [radii of same circle]

BO = DO [radii of same circle]

Chord AB = Chord CD [given]

⇒△AOB≅△COD [by SSS congruence axiom]

⇒∠AOB =∠COD. [c.p.c.t.]

62950.

if θ is the angle between the diagonals of a parallelogram ABCD whosevertices are A(0, 2), B(2,-1), C(40 and D( 2, 3). Show that tan θ=2

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Point A lies in the y axis ( x = 0)

Point C is int the x axis ( y = 0 )

Point B and D are in the line x = 2 . ( hence it is parallel to y axis .

The diagonal AC intersects the parallel lines x = 0 and x = 2

Hence the angle it makes with the y axis is the angle θ ,(the angle between the diagonals )

AC cuts the y axis at y = 2 and x axis at x = 4

hence tan θ = 4/2 = 2