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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

.

CG#50. If (1, 2), (4, 6), (x, 6), and (3, 2) are the vertices of a parallelogram taken in order, then find the value of x.

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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#51. Slope of the line joining the points (3, -2) and (-1, a) is

. Find the value of 'a'.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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#52. Find the slope of the line which is perpendicular to the straight line joining the points (-2, 6) and (4, 8).

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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#53. Find the point of intersection of the straight lines 9x - y - 2 = 0 and 2x + y - 9 = 0.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#54. The straight line 4x + 3y - 12 = 0 intersects the y-axis at which point?

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
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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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

The solution CG#54 is correct. Neat work, Monox D. I-Fly!

CG#55. Find the x and y intercepts respectively of the line 2x - 3y + 6 = 0.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
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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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

The solution CG#55 is correct. Neat work, Monox D. I-Fly!

CG#56. The center of a circle is (-6, 4). If one end of the diameter of the circle is at (-12, 8), find the other end.

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

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**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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

The solution CG#56 is correct. Excellent, Monox D. I-Fly!

CG#57. Find the equation of the straight line passing through the origin and perpendicular to the straight line 2x + 3y - 7 = 0.

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

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**Monox D. I-Fly****Member**- From: Indonesia
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May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

The solution CG#57 is correct. Neat work, Monox D. I-Fly!

CG#58. Find the equation of a straight line parallel to y-axis and passing through the point (-2, 5).

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

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**Monox D. I-Fly****Member**- From: Indonesia
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May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

The solution CG#58 is correct. Good work, Monox D. I-Fly!

CG#59. If the points (2, 5), (4, 6), and (a, a) are collinear, find the value of 'a'.

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**Monox D. I-Fly****Member**- From: Indonesia
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May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

The solution CG#59 is correct. Excellent, Monox D. I-Fly!

CG#60. If a straight line y = 2x + k passes through the point (1, 2), then find the value of k.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#61. Find the equation of a straight line having slope 3 and y-intercept -4.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#62. Find the value of k if the straight lines 3x + 6y + 7 = 0 and 2x + ky = 5 are perpendicular.

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

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
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May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

The solution CG#62 is correct. Neat work, Monox D. I-Fly!

CG#63. Find the equation of the perpendicular bisector of the straight line segment joining the points (3, 4) and (-1, 2).

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#64. If x + 2y = 7 and 2x + y = 8 are the equations of the two diameters of a circle, find the radius of the circle if the point (0, -2) lies on the circle.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

CG#65. Find the point P which divides the line segment joining the points A(1, -3) and B(-3, 9) internally in the ratio 1 : 3.

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

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
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May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 46,216

Hi,

.

The solution CG#65 is correct. Excellent, Monox D. I-Fly!

CG#66. Find the midpoint of the line segment joining the points (3, 0) and (-1, 4).

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

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