Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

CG#67. Find the point which divides the line sement joining the points (3, 5) and (8, 10) internally in the ratio 2 : 3.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

CG#68. If (7, 3), (6, 1), (8, 2) and (p, 4) are the vertices of a parallelogram taken in order, then find the value of p.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

CG#69. Find the distance between the points (2, 3) and (3, -1).

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

CG#70. (3, -1) is point on the circle with center at (6, 3).

(a) What is the radius of the circle?

(b) Does the circle cut the y-axis?

(c) Find the coordinates of the points of intersection of the circle with x-axis.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

CG#71. Prove that by joining the points (2, 1), (3, 4), and (-3, 6), we get a right triangle.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

CG#72. Find the value of 'a' if the distance between the points (a, -1) and (3, 2) is 5.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

The solution CG#72 (two parts) is correct. Neat work, Monox D. I-Fly!

#CG#73. Given A(2, 3), B(5, 4), C(6, 7), and D(3, 6). Find the lengths AB, BC, CD, and AD.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

CG#74. Find the coordinates of the points on the y-axis at which a circle of radius 10 units and center (6, 5) intersects.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

The solution CG#74 is correct. Excellent, Monox D. I-Fly!

CG#75. If (x, y) be a point equidistant from the points (7, 5), and (4, 3), then show that 6x + 4y = 49.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

CG#76. Find the coordinates of the points on x-axis which are equidistant from the points (-5, 8) and (6, -4).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

CG#77. Find the value of x, such that the distance between the points (2, 5) and (x, -7) is 13 units.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

CG#78. Find the distance between the points (2, 3), and (4, 1).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

The solution CG#78 is correct. Neat work, Monox D. I-Fly!

CG#79. Find the distance between the points (-5, 7), and (-1, 3).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

The solution CG#79 is correct. Neat work, Monox D. I-Fly!

CG#80. Find the distance between the points (a, b), and (-a, -b).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

The solution CG#80 is correct. Keep it up, Monox D. I-Fly!

CG#81. Find a relation between x and y such that the point (x, y) is equidistant from the points (3, 6), and (-3, 4).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

CG#82. Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2:3.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

CG#83. Find the area of the triangle whose vertices are (2, 3), (-1, 0), and (2, -4).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

Offline

**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,752

Hi,

.

Good attempt, Monox D. I-Fly!

CG#84. Find the area of the triangle whose vertices are (-5, -1), (3, -5), and (5, 2).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline