24740 + Interview Questions in Mathematics

1.	Compute the income tax payable by following individuals.(i) Mr. Kadam who is 35 years old and has a taxable income of Rs. 13,35,000.(ii) Mr. Khan is 65 years of age and his taxable income is Rs. 4,50,000.(iii) Miss Varsha (Age 26 years) has a taxable income of Rs. 2,30,000.
Answer» Compute the income tax payable by following individuals. (i) Mr. Kadam who is 35 years old and has a taxable income of Rs. 13,35,000. (ii) Mr. Khan is 65 years of age and his taxable income is Rs. 4,50,000. (iii) Miss Varsha (Age 26 years) has a taxable income of Rs. 2,30,000.

Discussion

2.	The surface area of a cuboid is 1372 cm2. If its dimensions are in the ratio 4: 2:1, then its length(in cm) is:
Answer» The surface area of a cuboid is 1372 $c m^{2}$ . If its dimensions are in the ratio 4: 2:1, then its length(in cm) is:

Discussion

3.	Evaluate the following : 32x+13 -27x24-9x2.
Answer» Evaluate the following : ${(\frac{3}{2} x + 1)}^{3} - \frac{27 x^{2}}{4} - \frac{9 x}{2} .$

Discussion

4.	Question 5From the choices given below, choose the equation whose graphs are given in Fig. 4.6 and Fig. 4.7.For Fig.4.6 For Fig.4.7(i)y=x (i)y=x+2(ii)x+y=0 (ii)y=x−2(iii)y=2x (iii)y=−x+2(iv)2+3y=7x (iv)x+2y=6
Answer» Question 5 From the choices given below, choose the equation whose graphs are given in Fig. $4.6$ and Fig. $4.7$ . $F o r F i g . 4. 6$ $F o r F i g . 4.7$ $(i) y = x$ $(i) y = x + 2$ $(i i) x + y = 0$ $(i i) y = x - 2$ $(i i i) y = 2 x$ $(i i i) y = - x + 2$ $(i v) 2 + 3 y = 7 x$ $(i v) x + 2 y = 6$

Discussion

5.	Draw a line, 8 centimetres long and divide it into five equal parts.
Answer» Draw a line, 8 centimetres long and divide it into five equal parts.

5.

Draw a line, 8 centimetres long and divide it into five equal parts.

Answer»

Draw a line, 8 centimetres long and divide it into five equal parts.

Discussion

6.	S1 : Total surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S2 : Lateral surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S3 : Volume of a cuboid is of the form xyz Which of the following options is correct?
Answer» S1 : Total surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S2 : Lateral surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S3 : Volume of a cuboid is of the form xyz Which of the following options is correct?

6.

S1 : Total surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S2 : Lateral surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S3 : Volume of a cuboid is of the form xyz Which of the following options is correct?

Answer»

S1 : Total surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces.

S2 : Lateral surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces.

S3 : Volume of a cuboid is of the form xyz

Which of the following options is correct?

Discussion

7.	How many outcomes does the experiment "tossing four coins" have? __
Answer» How many outcomes does the experiment "tossing four coins" have? __

Discussion

8.	Question 5 (i)In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find:(i) the length of the arc
Answer» Question 5 (i) In a circle of radius 21 cm, an arc subtends an angle of $60^{\circ}$ at the centre. Find: (i) the length of the arc

Discussion

9.	130.In the given figure, ABC is a triangle in which AB = AC. Side BA is produced To D such that AB = AD. Prove that angle BCD =90 degree
Answer» 130.In the given figure, ABC is a triangle in which AB = AC. Side BA is produced To D such that AB = AD. Prove that angle BCD =90 degree

Discussion

10.	In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:APCQ is a parallelogram
Answer» In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that: APCQ is a parallelogram

Discussion

11.	The dimensions of a car pertol tank is 50cm x 32cm x 24 cm. If is full of petrol. The cars petrol consumption is 15km per litre. Find the maximum distance that can be covered by the car.
Answer» The dimensions of a car pertol tank is 50cm x 32cm x 24 cm. If is full of petrol. The cars petrol consumption is 15km per litre. Find the maximum distance that can be covered by the car.

Discussion

12.	Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Find the probability of getting at most two heads.
Answer» Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Find the probability of getting at most two heads.

12.

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Find the probability of getting at most two heads.

Answer»

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

Find the probability of getting at most two heads.

Discussion

13.	Identify the remainder when 1+x+x2+x3+....+x2012 is divided by x - 1
Answer» Identify the remainder when $1 + x + x^{2} + x^{3} + . . . . + x^{2012}$ is divided by $x$ - 1

Discussion

14.	36. Find the equation to the straight line which go through the Origin and trisect the portion of the straight line 3x+y=12 which is intercepted between the axes of coordinate
Answer» 36. Find the equation to the straight line which go through the Origin and trisect the portion of the straight line 3x+y=12 which is intercepted between the axes of coordinate

Discussion

15.	Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is(a) 45°(b) 30°(c) 36°(d) none of these
Answer» Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is (a) 45° (b) 30° (c) 36° (d) none of these

Discussion

16.	Why does she call herself a fool? (i) She has decided to sell her villa. (ii) There are no buyers for the villa. (iii) She had bought the villa for more than it was worth. (iv) The villa was too close to the film studios.
Answer» Why does she call herself a fool? (i) She has decided to sell her villa. (ii) There are no buyers for the villa. (iii) She had bought the villa for more than it was worth. (iv) The villa was too close to the film studios.

16.

Why does she call herself a fool? (i) She has decided to sell her villa. (ii) There are no buyers for the villa. (iii) She had bought the villa for more than it was worth. (iv) The villa was too close to the film studios.

Answer»

Why does
she call herself a fool?

(i) She
has decided to sell her villa.

(ii) There
are no buyers for the villa.

(iii) She
had bought the villa for more than it was worth.

(iv) The
villa was too close to the film studios.

Discussion

17.	Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5The distance between them is
Answer» Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5 The distance between them is

17.

Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5The distance between them is

Answer»

Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5

The distance between them is

Discussion

18.	If ∆ PQR is right angled at Q, PQ=QR. If QS is perpendicular to PR and QS=4cm,then the perimeter of ∆ PQR is:1. 8(√2+1)cm2. 8√2 cm3. 16(√2+1)cm4. 24 cm
Answer» If ∆ PQR is right angled at Q, PQ=QR. If QS is perpendicular to PR and QS=4cm,then the perimeter of ∆ PQR is: 1. 8(√2+1)cm 2. 8√2 cm 3. 16(√2+1)cm 4. 24 cm

Discussion

19.	if 2x^2+3y^2+4z^2-\sqrt{6xy}-2\sqrt{3yz}-2\sqrt{2yz}= 0,then find the value of(2x^2+3y^2+16z^2 +2\sqrt{6xy}.-8\sqrt{3yz}-8\sqrt{2xz}
Answer» if 2x^2+3y^2+4z^2-\sqrt{6xy}-2\sqrt{3yz}-2\sqrt{2yz}= 0,then find the value of(2x^2+3y^2+16z^2 +2\sqrt{6xy}.-8\sqrt{3yz}-8\sqrt{2xz}

Discussion

20.	Find the perimeter of the given figure :
Answer» Find the perimeter of the given figure :

20.

Find the perimeter of the given figure :

Answer»

Find the perimeter of the given figure :

Discussion

21.	An isosceles trapezoidal prism has a base area of 234 m2 and parallel sides of the base measure 12 m and 14 m. Find the altitude of the base of the prism.
Answer» An isosceles trapezoidal prism has a base area of $234 m^{2}$ and parallel sides of the base measure 12 m and 14 m. Find the altitude of the base of the prism.

Discussion

22.	In cylinder, if the radius is halved and the height is doubled then the volume will be (a) the same (b) doubled (c) halved (d) four times
Answer» In cylinder, if the radius is halved and the height is doubled then the volume will be (a) the same (b) doubled (c) halved (d) four times

22.

In cylinder, if the radius is halved and the height is doubled then the volume will be (a) the same (b) doubled (c) halved (d) four times

Answer»

In cylinder, if the radius is halved and the height is doubled then the volume will be

(a) the same (b) doubled (c) halved (d) four times

Discussion

23.	(i) If one of the angle is 45°, then its corresponding angle will be ? (ii) If one of the angle is 108°, then its vertically opposite angle is ?
Answer» (i) If one of the angle is 45°, then its corresponding angle will be ? (ii) If one of the angle is 108°, then its vertically opposite angle is ?

Discussion

24.	The small groups obtained on grouping all the observations are called ________ and their size is called the _________.
Answer» The small groups obtained on grouping all the observations are called ________ and their size is called the _________.

Discussion

25.	If ΔABC≅ΔPQR and it is given that ∠A=60∘, ∠B=70∘. Then the value of ∠R is___ ∘.
Answer» $If Δ A B C ≅ Δ P Q R and it is given that ∠ A = 60^{\circ}, ∠ B = 70^{\circ} . Then the value of ∠ R is$ ___ $^{\circ}$ .

Discussion

26.	If , a=5+√2 and b=1÷a then find the value of a2 +b2
Answer» If , a=5+√2 and b=1÷a then find the value of a²+b²

Discussion

27.	You know that 1/7 =0.142857 can You predict what the decimal expansion of 2/7,3/7,4/7,5/7,6/7 are without actually doing the long division?If so,how?
Answer» You know that 1/7 =0.142857 can You predict what the decimal expansion of 2/7,3/7,4/7,5/7,6/7 are without actually doing the long division?If so,how?

Discussion

28.	consider a triangle of side 3 cm 8 cm and 6 cm a man runs at a distance of 1 cm from its side of the triangle how much distance he will travel?
Answer» consider a triangle of side 3 cm 8 cm and 6 cm a man runs at a distance of 1 cm from its side of the triangle how much distance he will travel?

Discussion

29.	In quadrilateral PQRS, ∠P:∠Q:∠R:∠S=3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other.
Answer» In quadrilateral PQRS, $∠ P : ∠ Q : ∠ R : ∠ S = 3 : 4 : 6 : 7.$ Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other.

Discussion

30.	54=625 can be written in logarithmic form as .
Answer» $5^{4} = 625$ can be written in logarithmic form as .

Discussion

31.	Draw appropriate Venn diagram for each of the following:(i) (A∪B)′(ii) A′∩B′(iii) (A∩B)′(iv) A′∪B′
Answer» Draw appropriate Venn diagram for each of the following: $(i) (A \cup B)^{'}$ $(i i) A^{'} \cap B^{'}$ $(i i i) (A \cap B)^{'}$ $(i v) A^{'} \cup B^{'}$

Discussion

32.	If \|z1-2\|
Answer» If \|z1-2\|<2 , \|z2-4\|<4 , \|z3-6\|<6, then \|z1+z2+z3\| is a) Less than 12 b) Less than 24 c) More than 12 d) More than 24

Discussion

33.	40. Prove that { ( 1 + cos A )/sin A } + { sin A / ( 1 + cos A ) } = 2 cosec A .
Answer» 40. Prove that { ( 1 + cos A )/sin A } + { sin A / ( 1 + cos A ) } = 2 cosec A .

Discussion

34.	If a pair of opposite sides of a cylic quadrilateral are equal, prove that its diagonals are equal. [3 MARKS]
Answer» If a pair of opposite sides of a cylic quadrilateral are equal, prove that its diagonals are equal. [3 MARKS]

Discussion

35.	Which of the following should be the FIRST sentence after rearrangement?
Answer» Which of the following should be the FIRST sentence after rearrangement?

Discussion

36.	Question 42State whether the following statement is True or False.The other name of cuboid is tetrahedron.
Answer» Question 42 State whether the following statement is True or False. The other name of cuboid is tetrahedron.

Discussion

37.	What is the proof of Napier's Analogy?
Answer» What is the proof of Napier's Analogy?

Discussion

38.	A ladder is resting on a wall of height 10√7m such that the foot of the ladder when placed 10√7m away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?
Answer» A ladder is resting on a wall of height 10 $\sqrt{7}$ m such that the foot of the ladder when placed 10 $\sqrt{7}$ m away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?

Discussion

39.	Find the value of a such that (x - 2 ) is the factor of the polynomial x4 + ax3 + 2x2 - 3x
Answer» Find the value of a such that (x - 2 ) is the factor of the polynomial x⁴ + ax³ + 2x² - 3x

Discussion

40.	Simplify: 64a2+8ab+25b2
Answer» Simplify: $64 a^{2} + 8 a b + 25 b^{2}$

Discussion

41.	With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ?
Answer» With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ?

41.

With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ?

Answer»

With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ?

Discussion

42.	If the inclination of a line is 30∘, then its slope is ___ .
Answer» If the inclination of a line is $30^{\circ}$ , then its slope is ___ .

Discussion

43.	In astigmatism why we are only able to see only one type of line(horizontal and perpendicular)
Answer» In astigmatism why we are only able to see only one type of line(horizontal and perpendicular)

Discussion

44.	2.The distance between the point (2,3) and its image with respect to x axis is A 6 B 3 C 9 D 12
Answer» 2.The distance between the point (2,3) and its image with respect to x axis is A 6 B 3 C 9 D 12

Discussion

45.	The curved surface area of a cylinder is 1320 cm2 and its base had diameter 21 cm. Find the height and the volume of the cylinder.
Answer» The curved surface area of a cylinder is 1320 cm² and its base had diameter 21 cm. Find the height and the volume of the cylinder.

Discussion

46.	ABCD is a parallelogram. The position vector of the pointsA (4i+5j-10k)B (2i-3j+4k)C (-i+2j+k)Find vector eqn. Of the line BD. Also reduce it to cartesian form.
Answer» ABCD is a parallelogram. The position vector of the points A (4i+5j-10k) B (2i-3j+4k) C (-i+2j+k) Find vector eqn. Of the line BD. Also reduce it to cartesian form.

Discussion

47.	The probability of picking the letter K if you pick a random letter from the word TREKKING is x4. Value of "x" is ___
Answer» The probability of picking the letter K if you pick a random letter from the word TREKKING is $\frac{x}{4}$ . Value of "x" is ___

Discussion

48.	Resolve into factors: 16x - (z - x)
Answer» Resolve into factors: 16x - (z - x)

Discussion

49.	If 5x+1=25x−2; find the value of: 3x−3×23−x
Answer» If $5^{x + 1} = 25^{x - 2}$ ; find the value of: $3^{x - 3} \times 2^{3 - x}$

49.

If 5x+1=25x−2; find the value of: 3x−3×23−x

Answer»

If $5^{x + 1} = 25^{x - 2}$ ; find the value of:

$3^{x - 3} \times 2^{3 - x}$

Discussion

50.	In the figure, BE⊥AC. AD is any line from A to BC intersecting BE in H. and P,Q and R are respectively the mid -points of AH,AB and BC. Prove that ∠PQR=90∘.
Answer» In the figure, $B E ⊥ A C$ . $A D$ is any line from $A$ to $B C$ intersecting $B E$ in $H .$ and $P, Q$ and $R$ are respectively the mid -points of $A H, A B$ and $B C$ . Prove that $∠ P Q R = 90^{\circ}$ .

50.

In the figure, BE⊥AC. AD is any line from A to BC intersecting BE in H. and P,Q and R are respectively the mid -points of AH,AB and BC. Prove that ∠PQR=90∘.

Answer»

In the figure, $B E ⊥ A C$ . $A D$ is any line from $A$ to $B C$ intersecting $B E$ in $H .$ and $P, Q$ and $R$ are respectively the mid -points of $A H, A B$ and $B C$ .

Prove that $∠ P Q R = 90^{\circ}$ .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Compute the income tax payable by following individuals.(i) Mr. Kadam who is 35 years old and has a taxable income of Rs. 13,35,000.(ii) Mr. Khan is 65 years of age and his taxable income is Rs. 4,50,000.(iii) Miss Varsha (Age 26 years) has a taxable income of Rs. 2,30,000.

The surface area of a cuboid is 1372 cm2. If its dimensions are in the ratio 4: 2:1, then its length(in cm) is:

Evaluate the following : 32x+13 -27x24-9x2.

Question 5From the choices given below, choose the equation whose graphs are given in Fig. 4.6 and Fig. 4.7.For Fig.4.6 For Fig.4.7(i)y=x (i)y=x+2(ii)x+y=0 (ii)y=x−2(iii)y=2x (iii)y=−x+2(iv)2+3y=7x (iv)x+2y=6​​​​​​​

Draw a line, 8 centimetres long and divide it into five equal parts.

S1 : Total surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S2 : Lateral surface area of a cuboid is sum of areas of 4 faces excluding top and bottom faces. S3 : Volume of a cuboid is of the form xyz Which of the following options is correct?

How many outcomes does the experiment "tossing four coins" have? __

Question 5 (i)In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find:(i) the length of the arc

130.In the given figure, ABC is a triangle in which AB = AC. Side BA is produced To D such that AB = AD. Prove that angle BCD =90 degree

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:APCQ is a parallelogram

The dimensions of a car pertol tank is 50cm x 32cm x 24 cm. If is full of petrol. The cars petrol consumption is 15km per litre. Find the maximum distance that can be covered by the car.

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Find the probability of getting at most two heads.

Identify the remainder when 1+x+x2+x3+....+x2012 is divided by x - 1

36. Find the equation to the straight line which go through the Origin and trisect the portion of the straight line 3x+y=12 which is intercepted between the axes of coordinate

Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is(a) 45°(b) 30°(c) 36°(d) none of these

Why does she call herself a fool? (i) She has decided to sell her villa. (ii) There are no buyers for the villa. (iii) She had bought the villa for more than it was worth. (iv) The villa was too close to the film studios.

Two points A &amp; B are marked on the number line as shown in fig with A = -2 &amp; B = -5The distance between them is

If ∆ PQR is right angled at Q, PQ=QR. If QS is perpendicular to PR and QS=4cm,then the perimeter of ∆ PQR is:1. 8(√2+1)cm2. 8√2 cm3. 16(√2+1)cm4. 24 cm

if 2x^2+3y^2+4z^2-\sqrt{6xy}-2\sqrt{3yz}-2\sqrt{2yz}= 0,then find the value of(2x^2+3y^2+16z^2 +2\sqrt{6xy}.-8\sqrt{3yz}-8\sqrt{2xz}

Find the perimeter of the given figure :

An isosceles trapezoidal prism has a base area of 234 m2 and parallel sides of the base measure 12 m and 14 m. Find the altitude of the base of the prism.

In cylinder, if the radius is halved and the height is doubled then the volume will be (a) the same (b) doubled (c) halved (d) four times

(i) If one of the angle is 45°, then its corresponding angle will be ? (ii) If one of the angle is 108°, then its vertically opposite angle is ?

The small groups obtained on grouping all the observations are called ________ and their size is called the _________.

If ΔABC≅ΔPQR and it is given that ∠A=60∘, ∠B=70∘. Then the value of ∠R is___ ∘.

If , a=5+√2 and b=1÷a then find the value of a​​​​​​2 +b​​​​​​2

You know that 1/7 =0.142857 can You predict what the decimal expansion of 2/7,3/7,4/7,5/7,6/7 are without actually doing the long division?If so,how?

consider a triangle of side 3 cm 8 cm and 6 cm a man runs at a distance of 1 cm from its side of the triangle how much distance he will travel?

In quadrilateral PQRS, ∠P:∠Q:∠R:∠S=3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other.

54=625 can be written in logarithmic form as .

Draw appropriate Venn diagram for each of the following:(i) (A∪B)′(ii) A′∩B′(iii) (A∩B)′(iv) A′∪B′

If |z1-2|

40. Prove that { ( 1 + cos A )/sin A } + { sin A / ( 1 + cos A ) } = 2 cosec A .

If a pair of opposite sides of a cylic quadrilateral are equal, prove that its diagonals are equal. [3 MARKS]

Which of the following should be the FIRST sentence after rearrangement?

Question 42State whether the following statement is True or False.The other name of cuboid is tetrahedron.

What is the proof of Napier's Analogy?

A ladder is resting on a wall of height 10√7m such that the foot of the ladder when placed 10√7m away from the wall, half of the ladder is extending above the wall. When the tip of the ladder is placed on the tip of the wall, how far is the foot of the ladder from the wall?

Find the value of a such that (x - 2 ) is the factor of the polynomial x4 + ax3 + 2x2 - 3x

Simplify: 64a2+8ab+25b2

With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ?

If the inclination of a line is 30∘, then its slope is ___ .

In astigmatism why we are only able to see only one type of line(horizontal and perpendicular)

2.The distance between the point (2,3) and its image with respect to x axis is A 6 B 3 C 9 D 12

The curved surface area of a cylinder is 1320 cm2 and its base had diameter 21 cm. Find the height and the volume of the cylinder.

ABCD is a parallelogram. The position vector of the pointsA (4i+5j-10k)B (2i-3j+4k)C (-i+2j+k)Find vector eqn. Of the line BD. Also reduce it to cartesian form.

The probability of picking the letter K if you pick a random letter from the word TREKKING is x4. Value of "x" is ___

Resolve into factors: 16x - (z - x)

If 5x+1=25x−2; find the value of: 3x−3×23−x

In the figure, BE⊥AC. AD is any line from A to BC intersecting BE in H. and P,Q and R are respectively the mid -points of AH,AB and BC. Prove that ∠PQR=90∘.

Question 5From the choices given below, choose the equation whose graphs are given in Fig. 4.6 and Fig. 4.7.For Fig.4.6 For Fig.4.7(i)y=x (i)y=x+2(ii)x+y=0 (ii)y=x−2(iii)y=2x (iii)y=−x+2(iv)2+3y=7x (iv)x+2y=6

Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5The distance between them is

The small groups obtained on grouping all the observations are called and their size is called the _.

If , a=5+√2 and b=1÷a then find the value of a2 +b2