1.

The co-ordinates of the end points of a diameter AB of a circle are A(-6, 8) and B(-10, 6). Find the co-ordinates of its centre.

**Answer: Option 'A'**

**The center O is the mid point of AB.
Co-ordinates of O are [(-6-10)/2, (8+6)/2]
= -16/2, 14/2
= (-8, 7)**

2.

The vertices of a quadrilateral ABCD are A(0, 0), B(3,3), C(3, 6) and D(0, 3). Then , ABCD is a

**Answer: Option 'B'**

**AB ^{2} = (3-0)^{2} + (3-0)^{2} = 18 **

BC^{2} = (3-3)^{2} + (6-3)^{2} = 9

CD^{2} = (0-3)^{2} + (3-6)^{2} =18

AD^{2} = (0-0)^{2} + (3-0)^{2} = 9

AB = CD = √18 => 3√2,

BC = AD = √9

AC^{2} = (3-0)^{2} + (6-0)^{2} = 9 + 36 = 45

BD^{2} = (0-3)^{2} + (3-3)^{2} = 9 + 0 = 9

AC ≠ BD

ABCD is a parallelogram.

3.

A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:

**Answer: Option 'D'**

**The co-ordinates of A are A(0, -5)**

4.

If for a line m = tanϑ > 0, then

**Answer: Option 'A'**

**m = tanϑ < 0 => is acute**

5.

Find the co-ordinates of the centroid of ΔABC whose vertices are A(7, -3), B(5, -4) and C(-3, -5)?

**Answer: Option 'B'**

**x _{1} = 7, x_{2} = 5, x_{3} = -3 and y_{1} = -3, y_{2} = -4, y_{3} = -5 **

= [(7 + 5 - 3)/3, (-3 - 4 - 5)/3]

= (12-3)/3, -12/3)

= (9/3, -12/3)

= (3, -4)

6.

In which quadrant does the point(0, 9) lie?

**Answer: Option 'B'**

**Answer: Option 'B'
The point (0, 9) lies in x-axis.**

7.

In which quadrant does the point(9, 0) lie?

**Answer: Option 'A'**

**The point (9, 0) lies in y-axis.**

8.

The end points of a line segment AB are A(-6, 4) and B(12,24). Its midpoint is:

**Answer: Option 'D'**

**Midpoint is C((-6+12)/2, (4+24)/2)
(-6/2, 28/2) = (-3, 14)**

9.

If the A(2, 3), B(5, k), and C(6, 7) are collinear, then k = ?

**Answer: Option 'D'**

**x _{1} = 2, x_{2} = 5, x_{3} = 6 and y_{1} = 3, y_{2} = k, y_{3} = 7 **

Now Δ = 0 <=> 2(k - 7) + 5(7 - 3) + 6(3 - k) = 0

<=> 1/2 [2 (k-7) + 5(4) + 6(3-k)] = 0

<=> 2k - 14 + 20 + 18 - 6k = 0

<=> 24 - 4k = 0

<=> 4k = 24

<=> k = 6.

10.

In which quadrant does the point(9, -2) lie?

**Answer: Option 'D'**

**The point (9, -2) lies in 4th quadrant.**

11.

P is a point on x-axis at a distance of 4 units from y-axis to its right. The co-ordinates of P are:

**Answer: Option 'A'**

**The co-ordinates of P are A(4, 0)**

12.

Find the distance of the point A(4, -2) from the origin.

**Answer: Option 'B'**

**OA = √4 - 0 ^{2}+(-2 - 0)^{2} = √16+4 = √20 = √4 × 5 = 2√5 units**

13.

Find the value of k for which the points A(-2, 6), B(5, k) and C(8, 3) are collinear.

**Answer: Option 'A'**

**x _{1} = -2, x_{2} = 5, x_{3} = 8 and y_{1} = 6, y_{2} = k, y_{3} = 3 **

Now Δ = 0 <=> -2(k - 3) + 5(3 - 6) + 8(6 - k) = 0

<=> -2 (k-3) + 5(-3) + 8(6-k) = 0

<=> -2k + 6 - 15 + 48 - 8k = 0

<=> 39 - 10k = 0

<=> k = -(39/10)

<=> k = 3.9.

14.

If the distance of the point P(x, y) from A(a, 0) is a + x, then y^{2} = ?

**Answer: Option 'C'**

**√(x-a) ^{2}+(y-0)^{2} = a + x **

= (x-a)^{2}+y^{2}

= (a+x)^{2} => y^{2} = (x-a)^{2}-(x-a)^{2}-4ax => y^{2} = 4ax

15.

In which quadrant does the point(-4, -7) lie?

**Answer: Option 'C'**

**The point (-4, -7) lies in 3rd quadrant. **

16.

Find the area of ΔABC whose vertices are A(9, -5), B(3, 7) and (-2, 4).

**Answer: Option 'C'**

**Here, x _{1} = 9, x_{2} = 3, x_{3} = -2 and y_{1} = -5, y_{2} = 7, y_{3} = 4**

= 1/2 [9(7-4) + 3(4+5) + (-2)(-5-7)]

= 1/2 [9(3) + 3(9) - 2(-12)]

= 1/2 [27 + 27 + 24]

= 1/2 [78]

= 39 sq.units

17.

The vertices of a ΔABC are A(-6, 18), B(12, 0) and C(9, −21). The centroid of ΔABC is:

**Answer: Option 'B'**

**CENTROID OF A TRIANGLE
The point of intersection of all the medians of a triangle is called its centroid.
If A(x**

18.

The distance between the points A(5, -7) and B(2, 3) is:

**Answer: Option ''**

**AB ^{2} = (2 - 5)^{2} + (3 + 7)^{2} **

=> (-3)^{2} + (10)^{2}

=> 9 + 100 => √109

19.

The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is ?

**Answer: Option 'C'**

**AB ^{2}= (-5 - 0)^{2} + (-3 - 0)^{2} = 16 + 9 = 25 **

BC^{2} = (3 + 5)^{2} + (1-3)^{2} = 8^{2} + (-2)^{2} = 64 + 4 = 68

AC^{2} = (3 - 0)^{2} + (1 - 6)^{2} = 9 + 25 = 34.

AB = AC. ==> ΔABC is isosceles.

20.

The distance between the points A(b, 0) and B(0, a) is.

**Answer: Option 'B'**

**AB = √(b-0) ^{2}-(0-a)^{2} **

= √b^{2}+a^{2}

= √a^{2}+b^{2}.

- Averages (200 Questions with Explanation): Quantitative Aptitude Test
- Boats and Streams :(31) MCQs with Answers
- Calender and Dates : MCQs with Answers Download PDF
- Co Ordinate Geometry - Problems and Solutions
- Clocks and Time
- Compound Interest : Aptitude Test (65 Questions with Explanation)
- L.C.M and H.C.F : Aptitude Test
- Problems on Areas : Aptitude Test
- Problems on Volumes
- Number System : Aptitude Test (200 Questions with Explanation)
- Partnership : Aptitude Test
- Percentage : Aptitude Test
- Permutations Combinations
- Profit and Loss
- Probability -Aptitude
- Ratios and Proportions (114 Questions with Explanation)
- Simplifications
- Simple Interest
- Time and Work :(96) MCQs with Answers
- Time and Distance :(25) MCQs with Answers
- Problems on Trains
- Trignometry Formulae : Quantitative Aptitude Test
- Latest model Quant Questions for SBI PO - Practice Test 1
- Latest model Quant Questions for SBI PO - Free online Practice Test 2
- Aptitude Test - Practice Test - 1 - For All Competitive Exams
- Twisted and Difficulty Level Quantitative Aptitude Questions for NICL AO Mains 2017
- Mensuration : Area - Volume - Quantitative Aptitude
- Metric Distance Conversion with Whole Number Values Online Quiz
- Metric Conversion with Decimal Values: Two-Step Problem Online Quiz

- RRB NTPC and RRB Group D Free Model Papers in Tamil Telugu Hindi and English
- Current Affairs in Telugu - RRB NTPC and RRB Group D Model Papers in Telugu
- Arithmetic and Maths in Telugu MCQs - RRB NTPC and RRB Group D Model Papers in Telugu
- Biology MCQs - RRB NTPC and RRB Group D Model Papers in Telugu
- Reasoning Practice Tests in Telugu - RRB NTPC and RRB Group D Model Papers in Telugu
- Science and Technology MCQs - RRB NTPC and RRB Group D Model Papers in Telugu
- Chemistry MCQs in Telugu - RRB NTPC and RRB Group D Model Papers in Telugu
- Physics MCQs in Telugu - RRB NTPC and RRB Group D Model Papers in Telugu
- Indian Polity - Constitution & Administration in Telugu - RRB NTPC and RRB Group D Model Papers in Telugu
- Indian Geography in Telugu MCQs - RRB NTPC and RRB Group D Model Papers in Telugu
- Andhra Pradesh - Geography in Telugu - RRB NTPC and RRB Group D Model Papers in Telugu
- General Knowledge MCQs - RRB NTPC and RRB Group D Model Papers in Telugu
- General Studies in Telugu - APPSC TSPSC UPSC - MCQs
- Andhra Pradesh Economics Question and Answers - MCQs