24740 + Interview Questions in Mathematics Page 87 InterviewSolution

4301.

If the mean of the following data is 20.2, find the value of p. Variable (xi) 10 15 20 25 30 Frequency (fi) 6 8 p 10 6

Answer» If the mean of the following data is 20.2, find the value of p.

Variable (x_i)	10	15	20	25	30
Frequency (f_i)	6	8	p	10	6

Discussion

4302.	Which of the following is not an identity matrix
Answer» Which of the following is not an identity matrix

Discussion

4303.	Which of the following is rational?(a) 3(b) π(c) 40(d) 04
Answer» Which of the following is rational? (a) $\sqrt{3}$ (b) $π$ (c) $\frac{4}{0}$ (d) $\frac{0}{4}$

Discussion

4304.	D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that(i) BDEF is a parallelogram.(ii) ar (DEF) = ar (ABC)(iii) ar (BDEF) = ar (ABC)
Answer» D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that (i) BDEF is a parallelogram. (ii) ar (DEF) = ar (ABC) (iii) ar (BDEF) = ar (ABC)

4304.

D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that(i) BDEF is a parallelogram.(ii) ar (DEF) = ar (ABC)(iii) ar (BDEF) = ar (ABC)

Answer»

D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that

(i) BDEF is a parallelogram.

(ii) ar (DEF) = ar (ABC)

(iii) ar (BDEF) = ar (ABC)

Discussion

4305.	A right circular cone of height 33m is recasted into a cylinder in such a way that radius of cylinder is same as the radius of the cone. Find the height of the cylinder. [2 MARKS]
Answer» A right circular cone of height 33m is recasted into a cylinder in such a way that radius of cylinder is same as the radius of the cone. Find the height of the cylinder. [2 MARKS]

Discussion

4306.	The decimal expansion of pi is:
Answer» The decimal expansion of pi is:

Discussion

4307.	in the figure BD is the angle bisector of angle B in triangle ABC, point E is on AB and CE intersects BD at P. Quadrilateral BCDE is ccyclic.If BP=15cm and PE=5 cm and AE/AC=m/n, where m and n are in lowest form then find m+n.
Answer» in the figure BD is the angle bisector of angle B in triangle ABC, point E is on AB and CE intersects BD at P. Quadrilateral BCDE is ccyclic.If BP=15cm and PE=5 cm and AE/AC=m/n, where m and n are in lowest form then find m+n.

Discussion

4308.	What is co-ordinate geometry?
Answer» What is co-ordinate geometry?

Discussion

4309.	If f(x) = 2x3 − 13x2 + 17x + 12, find (i) f(2) (ii) f(−3) (iii) f(0)
Answer» If f(x) = 2x³ − 13x² + 17x + 12, find (i) f(2) (ii) f(−3) (iii) f(0)

Discussion

4310.	Question 80(iv)This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.Point A represents resort that is located 5 km East and 3km North of point B. The values 5 and 3 are the coordinates of point A. The coordinates can be given as the ordered pair (5,3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.Give the coordinates of two points on the island that are exactly 2 km apart from point A.
Answer» Question 80(iv) This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km. Point A represents resort that is located 5 km East and 3km North of point B. The values 5 and 3 are the coordinates of point A. The coordinates can be given as the ordered pair (5,3), where 5 is the horizontal coordinate and 3 is the vertical coordinate. Give the coordinates of two points on the island that are exactly 2 km apart from point A.

Discussion

4311.	PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following cases, PQRS is a parallelogram ?
Answer» PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following cases, PQRS is a parallelogram ?

Discussion

4312.	Question 3ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.
Answer» Question 3 ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

Discussion

4313.	The curved surface area of a solid cylinder is 660 cm2 and its height is11 cm. The circumference of the base of the cylinder is
Answer» The curved surface area of a solid cylinder is 660 cm² and its height is11 cm. The circumference of the base of the cylinder is

Discussion

4314.	Statements:A - Some Rats are not Cats.B - Some Cats are Dogs.Conclusions:I - No Rat is Dog.II - Some Rats are Dogs.Options:a)Only conclusion I follows.b)Only conclusion II follows.c)Either conclusion I follows or conclusion II follows.d)Neither conclusion I nor conclusion II follows.
Answer» Statements: A - Some Rats are not Cats. B - Some Cats are Dogs. Conclusions: I - No Rat is Dog. II - Some Rats are Dogs. Options: a)Only conclusion I follows. b)Only conclusion II follows. c)Either conclusion I follows or conclusion II follows. d)Neither conclusion I nor conclusion II follows.

Discussion

4315.

Shruti maintains her books of account from Incomplete Records. Her books provide the following information: 1st April, 2015 (₹) 31st March, 2016 (₹) Cash 1,200 1,600 Bills Receivable … 2,400 Debtors 16,800 27,200 Stock 22,400 24,400 Investments … 8,000 Furniture 7,500 8,000 Creditors 14,900 11,600 She withdrew ₹ 500 per month for personal expenses. She sold her Investments of ₹ 16,000 at 5% premium and introduced the amount into business.You are required to prepare a Statement of Profit or Loss for the year ending 31st March, 2016.

Answer» Shruti maintains her books of account from Incomplete Records. Her books provide the following information:

	1st April, 2015 (₹)	31st March, 2016 (₹)
Cash	1,200	1,600
Bills Receivable	…	2,400
Debtors	16,800	27,200
Stock	22,400	24,400
Investments	…	8,000
Furniture	7,500	8,000
Creditors	14,900	11,600

She withdrew ₹ 500 per month for personal expenses. She sold her Investments of ₹ 16,000 at 5% premium and introduced the amount into business.

You are required to prepare a Statement of Profit or Loss for the year ending 31st March, 2016.

Discussion

4316.	What is the sum of the zeros of the polynomial 2+7x-x^2
Answer» What is the sum of the zeros of the polynomial 2+7x-x^2

Discussion

4317.	In figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 500, find ∠AOC.
Answer» In figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 50⁰, find ∠AOC.

Discussion

4318.	In the figure, if AB ∥ CD, CD ∥ EF and y:z=3:7, then the value of x is:
Answer» In the figure, if AB ∥ CD, CD ∥ EF and $y : z = 3 : 7$ , then the value of $x$ is:

Discussion

4319.	Question 11 (ii) In ΔABC and ΔDEF ,AB=DE, AB \|\| DE, BC =EF and BC \|\| EF. Vertices A, B and C are joined to vertices D,E and F respectively ( see the given figure). Show that Quadrilateral BEFC is a parallelogram.
Answer» Question 11 (ii) In $Δ A B C$ and $Δ D E F$ ,AB=DE, AB \|\| DE, BC =EF and BC \|\| EF. Vertices A, B and C are joined to vertices D,E and F respectively ( see the given figure). Show that Quadrilateral BEFC is a parallelogram.

Discussion

4320.	The distance of a point (0, –3) from the origin is
Answer» The distance of a point (0, –3) from the origin is

Discussion

4321.	16. ABC IS AN EQUILATERAL TRIANGLE SUCH THAT THE VERTICES B AND C LIE ON TWO PARALLEL LINES AT A DISTANCE 6. IF A LIES BETWEEN THE PARALLEL LINES AT A DISTANCE 4 FROM ONE OF THEM THEN THE SIDE OF EQUILATERAL TRIANGLE
Answer» 16. ABC IS AN EQUILATERAL TRIANGLE SUCH THAT THE VERTICES B AND C LIE ON TWO PARALLEL LINES AT A DISTANCE 6. IF A LIES BETWEEN THE PARALLEL LINES AT A DISTANCE 4 FROM ONE OF THEM THEN THE SIDE OF EQUILATERAL TRIANGLE

Discussion

4322.	In each example given below, radius of base of a cylinder and its height are given. Then find the curved surface area and total surface area.(1) r = 7 cm, h = 10 cm(2) r = 1.4 cm, h = 2.1 cm(3) r = 2.5 cm, h = 7 cm(4) r = 70 cm, h = 1.4 cm(5) r = 4.2 cm, h = 14 cm
Answer» In each example given below, radius of base of a cylinder and its height are given. Then find the curved surface area and total surface area. (1) r = 7 cm, h = 10 cm (2) r = 1.4 cm, h = 2.1 cm (3) r = 2.5 cm, h = 7 cm (4) r = 70 cm, h = 1.4 cm (5) r = 4.2 cm, h = 14 cm

Discussion

4323.	Draw the graph for each of the equations x + y = 6 and x - y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect.
Answer» Draw the graph for each of the equations x + y = 6 and x - y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect.

Discussion

4324.	If the length of a rectangle is 5 cm and its breadth is 2 cm, then the ratio of length to breadth is ________.
Answer» If the length of a rectangle is 5 cm and its breadth is 2 cm, then the ratio of length to breadth is ________.

Discussion

4325.	Write the degrees of each of the following polynomials:(i) 7x3 + 4x2 − 3x + 12(ii) 12 − x + 2x3(iii) 5y-2(iv) 7(v) 0
Answer» Write the degrees of each of the following polynomials: (i) 7x³ + 4x² − 3x + 12 (ii) 12 − x + 2x³ (iii) $5 y - \sqrt{2}$ (iv) 7 (v) 0

Discussion

4326.	The mean of three numbers is 10. The mean of other four numbers is 12.Find the mean of all the numbers.
Answer» The mean of three numbers is 10. The mean of other four numbers is 12. Find the mean of all the numbers.

Discussion

4327.	Prove that equal chords of a circle subtend equal angles at the centre.
Answer» Prove that equal chords of a circle subtend equal angles at the centre.

Discussion

4328.	In the above figure, ACDF, ABEF and BCDE are all parallelograms. Analyse the given figure and choose the correct option.
Answer» In the above figure, ACDF, ABEF and BCDE are all parallelograms. Analyse the given figure and choose the correct option.

Discussion

4329.	In the given figure, what is the ratio of the area of the square to the circle ? (Take π=227)
Answer» In the given figure, what is the ratio of the area of the square to the circle ? (Take $π = \frac{22}{7}$ )

Discussion

4330.	Simplified value of 16-14×164 is(a) 0(b) 1(c) 4(d) 16
Answer» Simplified value of ${(16)}^{- \frac{1}{4}} \times \sqrt[4]{16}$ is (a) 0 (b) 1 (c) 4 (d) 16

Discussion

4331.	The diameter of a garden roller is 1.4 m and it is 2 m long. Total area covered in 5 revolutions is
Answer» The diameter of a garden roller is 1.4 m and it is 2 m long. Total area covered in 5 revolutions is

Discussion

4332.	30. Suppose f(x) is a polynomial of degree 5 and with leading coefficient 2009. Suppose further that if f(1)=1, f(2)=3, f(3)=5 , f(4)=7 , f(5)=9. What is the value of f (6)?
Answer» 30. Suppose f(x) is a polynomial of degree 5 and with leading coefficient 2009. Suppose further that if f(1)=1, f(2)=3, f(3)=5 , f(4)=7 , f(5)=9. What is the value of f (6)?

Discussion

4333.	Trouve la forme verbale des noms suivants:1. Une promenade2. Une boisson3. Un jeu4. Un réveil
Answer» Trouve la forme verbale des noms suivants: 1. Une promenade 2. Une boisson 3. Un jeu 4. Un réveil

Discussion

4334.	factorise:-(x-y)cube + (y-x)square
Answer» factorise:- (x-y)cube + (y-x)square

Discussion

4335.	In a quadrilateral ABCD show that AB+BC+CD+DA<2 (BD+AC)
Answer» In a quadrilateral $A B C D$ show that $A B + B C + C D + D A < 2 (B D + A C)$

Discussion

4336.	In quadrilateral ABCD, AB bisects ∠A. Which of the following criterion will prove ΔABC ΔABD ?
Answer» In quadrilateral ABCD, AB bisects ∠A. Which of the following criterion will prove ΔABC ΔABD ?

4336.

In quadrilateral ABCD, AB bisects ∠A. Which of the following criterion will prove ΔABC ΔABD ?

Answer»

In quadrilateral ABCD, AB bisects ∠A. Which of the following criterion will prove ΔABC ΔABD ?

Discussion

4337.	On 31st March, 2019, Pass Book of Shri Bhama Shah shows debit balance of ₹ 10,000. From the following particulars, prepare Bank Reconciliation Statement.(i) Cheques amounting to ₹ 8,000 drawn on 25th March of which cheques of ₹ 5,000 cashed in April, 2019.(ii) Cheques paid into bank for collection of ₹ 5,000 but cheques of ₹ 2,200 could only be collected in March 2019.(iii) Bank charges ₹ 25 and dividend of ₹ 350 on investment collected by bank could not be shown in the Cash Book.(iv) A cheque of ₹ 600 debited in the Cash Book omitted to be banked.(v) Bill of ₹ 5,000 discounted with Bank but was not recorded in the Cash Book.
Answer» On 31st March, 2019, Pass Book of Shri Bhama Shah shows debit balance of ₹ 10,000. From the following particulars, prepare Bank Reconciliation Statement. (i) Cheques amounting to ₹ 8,000 drawn on 25th March of which cheques of ₹ 5,000 cashed in April, 2019. (ii) Cheques paid into bank for collection of ₹ 5,000 but cheques of ₹ 2,200 could only be collected in March 2019. (iii) Bank charges ₹ 25 and dividend of ₹ 350 on investment collected by bank could not be shown in the Cash Book. (iv) A cheque of ₹ 600 debited in the Cash Book omitted to be banked. (v) Bill of ₹ 5,000 discounted with Bank but was not recorded in the Cash Book.

Discussion

4338.	Match the following decimal forms to their correct pq form.
Answer» Match the following decimal forms to their correct $\frac{p}{q}$ form.

Discussion

4339.	A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 122 cm, then area of the triangle is(a) 242 cm2(b) 243 cm2(c) 483 cm2(d) 643 cm2
Answer» A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $12 \sqrt{2}$ cm, then area of the triangle is (a) $24 \sqrt{2} c m^{2}$ (b) $24 \sqrt{3} c m^{2}$ (c) $48 \sqrt{3} c m^{2}$ (d) $64 \sqrt{3} c m^{2}$

Discussion

4340.

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years: Year 1992 1993 1994 1995 1996 Loan (in crores of rupees) 28 33 55 55 80 (i) Represent the above data with the help of a bar graph.(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

Answer» The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

Year	1992	1993	1994	1995	1996
Loan (in crores of rupees)	28	33	55	55	80

(i) Represent the above data with the help of a bar graph.

(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

Discussion

4341.	The rationalisation factor of 3 is(a) -3(b) 13(c) 23(d) -23
Answer» The rationalisation factor of $\sqrt{3}$ is (a) $- \sqrt{3}$ (b) $\frac{1}{\sqrt{3}}$ (c) $2 \sqrt{3}$ (d) $- 2 \sqrt{3}$

Discussion

4342.	If (1)(2020)+(2)(2019)+(3)(2018)+⋯+(2020)(1)=2020×2021×k, then the value of k is
Answer» If $(1) (2020) + (2) (2019) + (3) (2018) + \dots + (2020) (1) = 2020 \times 2021 \times k,$ then the value of $k$ is

Discussion

4343.	TRUE or FALSE & explain how : 1) If a circle is divided into 3 equal arcs, then each is a major arc. 2) Sector is the region between the chord and it's corresponding arc. 3) The degree measure of an arc is the compliment of the central angle containing the arc.
Answer» TRUE or FALSE & explain how : 1) If a circle is divided into 3 equal arcs, then each is a major arc. 2) Sector is the region between the chord and it's corresponding arc. 3) The degree measure of an arc is the compliment of the central angle containing the arc.

4343.

TRUE or FALSE & explain how : 1) If a circle is divided into 3 equal arcs, then each is a major arc. 2) Sector is the region between the chord and it's corresponding arc. 3) The degree measure of an arc is the compliment of the central angle containing the arc.

Answer»

TRUE or FALSE & explain how :

1) If a circle is divided into 3 equal arcs, then each is a major arc.

2) Sector is the region between the chord and it's corresponding arc.

3) The degree measure of an arc is the compliment of the central angle containing the arc.

Discussion

4344.	In the triangle below, which arrangement below has the sides in the ascending order of their length?
Answer» In the triangle below, which arrangement below has the sides in the ascending order of their length?

4344.

In the triangle below, which arrangement below has the sides in the ascending order of their length?

Answer»

In the triangle below, which arrangement below has the sides in the ascending order of their length?

Discussion

4345.	The point of intersection of X and Y axes is known as
Answer» The point of intersection of X and Y axes is known as

Discussion

4346.	The decimal expansion of the rational number 145871250 will terminate after(a) one decimal place(b) two decimal place(c) three decimal place(d) four decimal place
Answer» The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after (a) one decimal place (b) two decimal place (c) three decimal place (d) four decimal place

Discussion

4347.	Factorize: 2x^2-5x/6+1/12
Answer» Factorize: 2x^2-5x/6+1/12

Discussion

4348.	Draw a cirlce and two lines parallel to a given line such that one is a tangent and the other is a secant to the circle.
Answer» Draw a cirlce and two lines parallel to a given line such that one is a tangent and the other is a secant to the circle.

Discussion

4349.	Two poles of height, 20 ft and 30 ft are standing at a distance of 10 ft from each other. Find the distance between the tops of these poles.
Answer» Two poles of height, 20 ft and 30 ft are standing at a distance of 10 ft from each other. Find the distance between the tops of these poles.

Discussion

4350.	The longest chord of a circle is the ____ of the circle.
Answer» The longest chord of a circle is the ____ of the circle.

Discussion

Explore topic-wise InterviewSolutions in .

If the mean of the following data is 20.2, find the value of p. Variable (xi) 10 15 20 25 30 Frequency (fi) 6 8 p 10 6

Which of the following is not an identity matrix

Which of the following is rational?(a) 3(b) π(c) 40(d) 04

D, E and F are respectively the mid-points of the sides BC, CA and AB of a ΔABC. Show that(i) BDEF is a parallelogram.(ii) ar (DEF) = ar (ABC)(iii) ar (BDEF) = ar (ABC)

A right circular cone of height 33m is recasted into a cylinder in such a way that radius of cylinder is same as the radius of the cone. Find the height of the cylinder. [2 MARKS]

The decimal expansion of pi is:

in the figure BD is the angle bisector of angle B in triangle ABC, point E is on AB and CE intersects BD at P. Quadrilateral BCDE is ccyclic.If BP=15cm and PE=5 cm and AE/AC=m/n, where m and n are in lowest form then find m+n.

What is co-ordinate geometry?

If f(x) = 2x3 − 13x2 + 17x + 12, find (i) f(2) (ii) f(−3) (iii) f(0)

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following cases, PQRS is a parallelogram ?

Question 3ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.

The curved surface area of a solid cylinder is 660 cm2 and its height is11 cm. The circumference of the base of the cylinder is

Statements:A - Some Rats are not Cats.B - Some Cats are Dogs.Conclusions:I - No Rat is Dog.II - Some Rats are Dogs.Options:a)Only conclusion I follows.b)Only conclusion II follows.c)Either conclusion I follows or conclusion II follows.d)Neither conclusion I nor conclusion II follows.

What is the sum of the zeros of the polynomial 2+7x-x^2

In figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 500, find ∠AOC.

In the figure, if AB ∥ CD, CD ∥ EF and y:z=3:7, then the value of x is:

Question 11 (ii) In ΔABC and ΔDEF ,AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D,E and F respectively ( see the given figure). Show that Quadrilateral BEFC is a parallelogram.

The distance of a point (0, –3) from the origin is

16. ABC IS AN EQUILATERAL TRIANGLE SUCH THAT THE VERTICES B AND C LIE ON TWO PARALLEL LINES AT A DISTANCE 6. IF A LIES BETWEEN THE PARALLEL LINES AT A DISTANCE 4 FROM ONE OF THEM THEN THE SIDE OF EQUILATERAL TRIANGLE

In each example given below, radius of base of a cylinder and its height are given. Then find the curved surface area and total surface area.(1) r = 7 cm, h = 10 cm(2) r = 1.4 cm, h = 2.1 cm(3) r = 2.5 cm, h = 7 cm(4) r = 70 cm, h = 1.4 cm(5) r = 4.2 cm, h = 14 cm

Draw the graph for each of the equations x + y = 6 and x - y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect.

If the length of a rectangle is 5 cm and its breadth is 2 cm, then the ratio of length to breadth is ________.

Write the degrees of each of the following polynomials:(i) 7x3 + 4x2 − 3x + 12(ii) 12 − x + 2x3(iii) 5y-2(iv) 7(v) 0

The mean of three numbers is 10. The mean of other four numbers is 12.Find the mean of all the numbers.

Prove that equal chords of a circle subtend equal angles at the centre.

In the above figure, ACDF, ABEF and BCDE are all parallelograms. Analyse the given figure and choose the correct option.

In the given figure, what is the ratio of the area of the square to the circle ? (Take π=227)

Simplified value of 16-14×164 is(a) 0(b) 1(c) 4(d) 16

The diameter of a garden roller is 1.4 m and it is 2 m long. Total area covered in 5 revolutions is

30. Suppose f(x) is a polynomial of degree 5 and with leading coefficient 2009. Suppose further that if f(1)=1, f(2)=3, f(3)=5 , f(4)=7 , f(5)=9. What is the value of f (6)?

Trouve la forme verbale des noms suivants:1. Une promenade2. Une boisson3. Un jeu4. Un réveil

factorise:-(x-y)cube + (y-x)square

In a quadrilateral ABCD show that AB+BC+CD+DA&lt;2 (BD+AC)

In quadrilateral ABCD, AB bisects ∠A. Which of the following criterion will prove ΔABC ΔABD ?

Match the following decimal forms to their correct pq form.

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 122 cm, then area of the triangle is(a) 242 cm2(b) 243 cm2(c) 483 cm2(d) 643 cm2

The rationalisation factor of 3 is(a) -3(b) 13(c) 23(d) -23

If (1)(2020)+(2)(2019)+(3)(2018)+⋯+(2020)(1)=2020×2021×k, then the value of k is

TRUE or FALSE &amp; explain how : 1) If a circle is divided into 3 equal arcs, then each is a major arc. 2) Sector is the region between the chord and it's corresponding arc. 3) The degree measure of an arc is the compliment of the central angle containing the arc.

In the triangle below, which arrangement below has the sides in the ascending order of their length?

The point of intersection of X and Y axes is known as

The decimal expansion of the rational number 145871250 will terminate after(a) one decimal place(b) two decimal place(c) three decimal place(d) four decimal place

Factorize: 2x^2-5x/6+1/12

Draw a cirlce and two lines parallel to a given line such that one is a tangent and the other is a secant to the circle.

Two poles of height, 20 ft and 30 ft are standing at a distance of 10 ft from each other. Find the distance between the tops of these poles.

The longest chord of a circle is the ____ of the circle.

In a quadrilateral ABCD show that AB+BC+CD+DA<2 (BD+AC)

TRUE or FALSE & explain how : 1) If a circle is divided into 3 equal arcs, then each is a major arc. 2) Sector is the region between the chord and it's corresponding arc. 3) The degree measure of an arc is the compliment of the central angle containing the arc.