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62651.

find the values of a and b.CBSE 201423) Find the area of ΔΑ BC with vertices A(0,-1), B(2,1) and C(0, 3). Alsofind the area of the triangle formed by joining the midpoints of its sides2014Show that the ratio of the areas of two triangles is 4:1. ICBse

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62652.

23. Find the area of AABC with vertices A(0, -1), B(2, 1) and C(0, 3). Also,find the area of the triangle formed by joining the midpoints of its sides.Show that the ratio of the areas of two triangles is 4:1. CBSE 2014]

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62653.

Expand the expression -x-2' 2

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62654.

1.Expand (x+y)2&(x-y)2

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62655.

Paints cacustancesaom the hare a hs tau s and in hestraight line with-it-theo-complern utazuindt the heijli ok he tawc

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62656.

ometry Line and Angleig. 5. 18, Lx + <y2p + <q, then prove that AOB is a straight line.Fig, 5.18secting and Parallel Linese asked to drat nois

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thanks

62657.

50D, E and F are respectively the midShow that-points of the sides BC, CA and AD5.() ar (DEF)- a(A(i) BDEF is a parallelogram.4(ii) ar (BDEF)2 ar (ABC)

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62658.

Find D3. If E, F G and H are respectively themidpoints of the sides AB, BC, CD and ADof a parallelogram ABCD, show thatar(EFGH ar(ABCD)in APARPO, AOCN and AM

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62659.

Example 3 : Show that a median of a triangle divides it into two triangles of equalareas

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62660.

1 Die following questions.3 X 2 = 6M4. IfA - {Triangles), B - {lsosceles triangles), C - {Equilateral triangles then relate themwith properly. Justify your answer.

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It is clear that Isoceles triangle has 2 equal sides Equilateral triangle has 3 equal sides.

Then each element of B is also an element of A.

Hence B is a proper subset of A.

Therefore

A intersection B = B

I hope this answer helps you

It is clear thatisoceles triangle has 2 equal sidesequilateral triangle has 3 equal sides.

Then each element of B is also an element of A.

Hence B is a proper subset of A.

ThereforeA intersection B=B

I hope this answer helps you..

it is clear that Isosceles triangle has 2 equal sidesEquilateral triangle has 3 equal sides.

Then each element of B is also an element A Hence B is a proper subset of A ThereforeA intersection B =B

In a isosceles triangle two sides are equal and in equilateral triangle all sides are equal and all angles are 60 degree

62661.

A polyhedron cannot have, for its faces(A) 3 triangles(C) a square and 4 triangles0.(B) 4 triangles(D) 2 triangles and 3 rectangles

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62662.

find the measure of each of its angles.gure 14.19,.ABCD is a arallelogra and line segments AE and CF bisect the angles aand C respectively. Show that AE || CF.76Fig. 14.19Mathematics-

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62663.

Segments AC and BD intersect at E such that AE BE and CE- DE. If ZBCE 78° , find the value of x

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62664.

UTUSUUunaExample 1: Expand the determinant

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20-12=8 is the correct answer

=4(5) -6(2) =20-12= 8 is the correct answer

20-12=8 is correct answer

4.5-2.6=20-12=8 correct answer

=4*5 - 2*6=20 - 12=8 is the correct answer

62665.

EXAMPLE Expand (x^2 + 2a)^5 by binomial theorem.

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x^10+10x^8a+40x^6a^2+80x^4a^3+80x^2a^4+32a^5

62666.

Example 3.20Expand the following:(ii) (3x - 1)(3(i) (x+5)(x + 6)(x + 4)

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(x+5)(x+6)=(x^2+6x+5x+30)= ( x^2+11x+30)(x+4)= =(x^3+11x^2+30x+4x^2+44x+120)=( x^3+15x^2+74x+120)

62667.

2.Thefollowingnumbers are obviously not perfect squares Give reasons) 1057(ii) 23453(||i) 7928(v) 64000(vi) 89722(vi) 222000

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The number ends with 2 ,3,7,8 and 0 is not a perfect square. so these numbers are not perfect square.

The number ends with 2 ,3,7,8 and 0 is not a perfect square. so these numbers are not perfect square.

62668.

the straight line drawn parallel to one side of a triangle divides the other two sides in

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The straight line drawn parallel to one side of a triangle divides the other two sides in the same ratio.

62669.

2. What is the largest number that divides each one of 1152 and 1664exactly?(a) 32(b) 64(c) 128(d) 256

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thankyou soo much

62670.

(W) &.?.:10, 7,4, ..., का 30 वाँ पद है...

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a=10d=-3

=a+29d=10+29(-3)=10-87=-77

62671.

cos 45°Msec 30° + cosec 30°- W

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62672.

Half of x is taken away from one-third of y

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The Equation is y/3 - x/2

62673.

ina o

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y = 3x⁴-4x

slope at x = 4 is given by dy/dx

so, dy/dx = 12x³-4

putting x = 4. => dy/dx = 12*(4)³-4 = 764.

thanks

62674.

ina the dipilSENDMORE

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Thank you for your time

62675.

Example 2 : ABCD is a trapezium with AB | DC. E arsides AD and BC respectively such that(see Fig. 2.14). Show thatAE / ED = BF /FC

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62676.

TRIANGLESExample 2 : ABCD is a trapezium with AB |l DCE and F are points on non-parallel sides AD andrespectively such that EF is parallel to ABAE BF(see Fig. 6.14). Show that ED-FC

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62677.

10. ABCD is a rhombus. EABF is a straight line such that EA-AB -BF. Prove that ED and FCwhen produced meet a right angles.

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62678.

e following figure, ARCD is a parallelogram and line segments AE and FC bisect the angles A, respectively. Show that AE || FC

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62679.

Expand ( 3 a + 4 b ) ^ { 3 }

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62680.

4Example 1 Expand.| x2 +2, x0

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62681.

Find the derivative w.r.t. x:. (1).{X cube(π/4)}/sinx.

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62682.

Expand:(1). (K+4)^3(2) (101)^3

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62683.

the point of intersection of the diagonals of a quadrilateral divides one of the diagonals in the ratio 2:3.can it be parallelogram?why?

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No it is not a parallelogram. Because diagonal of parallelogram are bisects at their point of intersection

62684.

17. The volume of a cube is given byV = x3 - 9x2 + 27x - 27. The edge of the cube is(a) (x + 3)(b) 3(x - 3)(c) (x - 3)(d) of these

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62685.

Area of rhombus is how many times to the product of theirdiagonals?(i) one-third (ii) half (iii) one-fourth (iv) none

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62686.

: 25('a city, 30% are females, 40%males, 40% are males and remaining are children. W,, 30% are(3Int mchildrenO voters in a constituency, 60% voted. Find the perce

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Percentage of Females=30%Percentage of males=40%

Total percentage of males and females=30%+40%=70%

Thus, the percentage of children =100%-total percentage of males and females

=100%-70%=30%

Ans. Percentage of children=30%

62687.

2/ In a city, 30% are females, 40% are males and remaining are children. Whatper centare children?

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62688.

40. A shopkeeper sold an article for ? 2090.42without any loss or profit.Approximately, whatwill be the profit percent, if he sold that article for2602.58?A. 15%C. 25%B. 20%D. 30%

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SP=2090.42 no profit loss so CP=2090.42 now SP=2602.58 so profit percentage = (2602.58-2090.42)/2090.42 ×100 = 24.5% = 25% (approx)

62689.

In a City 30% are females.40% are males and remaining are children.what % are children?

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30% are females and 40% are males so 100-30-40=30% childrenso 30% are children.

thank you

62690.

engar wanted to buy watches for his 2 childrenIf each watch costs?825 how much did he pay?

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Cost of 1 watch = 825Cost of 2 watches = 825 * 2 = Rs. 1650

62691.

Example 2 : ABCD is a trapezium with AB DC.E and F are points on non-parallel sides AD and BCrespectively such that EF is parallel toAB(see Fig. 6.14). Show that EDAE BFFC

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we used basic proportionality theorem hereand with the help of that we proved it

62692.

Who is ayush

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hello brother I am Ayush Kumar the fake IDs are working properly working properly select my answer is best answer and like it fast

your name is ayushOK please like

62693.

7. On dividing x-3x +x+2 by the a polynomial g(x) the quotient and remainder were+ x +2 by the a polynomial g(x) the quotient and remainder werex +2 and-2x +4 respectively find g(x)İ.,'vnas fis1 // bsliftoaefeti.-11brti.

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Divisor*Quotient+Remainder= Dividentg(x)(x-2)+(-2x+4)=x3-3x2+x+2g(x)(x-2)=x3-3x2+x+2+2x-4g(x)(x-2)=x3-3x2+3x-2g(x)=x3-3x2+3x-2/(x-2)g(x)=x2-x+1

62694.

Apply the division algorithm to find the quotient and remainder on dividing f(x)by g(x)to given below :-(1)- f(x)=x cube-3x square + 5x-3;g(x)=x square - 2

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62695.

Each side of a square is of length 4. The centreof the square is (3, 7) and one ofits diagonalsis parallel to y x. Then co-ordinates of itsvertices are<C

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Question-Each side of a square is of length 6 units and the centre of the square is (-1,2) .one of its diagnals is parallel to x+y=0. find the coordinates of the vertices of the square.

solution:Square ABCD. Center = O (-1, 2).AB = BC = 6 units. So AC = 6√2 units. So AO = 3√2 units.

Equation of diagonalAC: y + x = k , as it is parallel to x+y = 0Center O lies on AC: -1 + 2 = k => k =1

So Equation of AC: x + y = 1, or y = 1 - a.

Let point A be (a, 1-a). Center O (-1, 2) is midpoint of AC.AO² = (a+1)² + (-a-1)² = (3√2)²=> a + 1 = + 3=> a = 2 or -4

As the diagonal AC has a slope -1, its inclination with x axis is 45°. So the sides AB and CD are parallel to x axis. AD and BC are parallel to y axis.

A = (2, -1) , B(2-6, -1) or (-4,-1)D = (2, -1 + 6) or D= (2, 5), C(-4, 5)

62696.

BThe sides of a rectangle are in the ratio 3 : 5,allelogram are Find its sides if the perimeter is 160 cm., Th

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let X be the multiple 3x ,5x2(l+b)=perimeter2(3x+5x)=16016x=160X=10cm3x=30cmand 5x=50cm

62697.

All children in class 7 passed the math exam. Details ofare given belowGradeNumber of childrenPercent403025

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62698.

earea of thetrapeziume parallel sides of a trapezium are 172.5 cm and 91.5 cm. Find thif the perpendicular distance between the parallel sides is 26 cm.

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62699.

area of a trapezium is 180 cm2. Its parallel sides are in the ratio 1:3 and thbetween them is 6 cm. Find the length of each of the parallel sides.and the distance6. The

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62700.

1. Radhika embroiders a sadays. How many days will it take for her to embroider four such sarees?days?2. A cyclist covers a distance of 15 km in a day. How much distance will be covered in 53. In a factoryof the workers are females. If there are 600 workers in all, then find the number of maleworkers.4. A train at a uniform speed covers a distance of 240 km in 24 hours. Find the speed of the train and alsothe distance travelled by the train in 6 hours.5. The product of two rational numbers is If one of the rational number is then find the other6. Ayush takes half an hour to reach his school if he walks at a uniform speed of 3 - km/h. Find the distancecovered by him.7. A book has 350 pages. Neeta has readNeeta.INof the book. Find the remaining number of pages to be read by3. Multiply the sum ofand -13 by their difference.

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