1.

Find the value of k for which the points A(-2, 5), B(3, k) and C(6, 1) are collinear.

**Answer: Option 'D'**

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

Now Δ = 0 <=> -2(k + 1) + 3(-1 + 5) + 6(5 - k) = 0

<=> -2 (k+1) + 3(4) + 6(5-k) = 0

<=> -2k-2 + 12+30 -6k = 0

<=> 40 - 8k = 0

<=> -8k = -40

<=> k = 5.

2.

Find the vertices of triangle are A(2, 8), B(-4, 3) and (5, -1). The area of ΔABC is:

**Answer: Option 'C'**

**Here, x _{1} = 2, x_{2} = -4, x_{3} = 5 and y_{1} = 8, y_{2} = 2, y_{3} = -1**

= 1/2 [2(3+1) - 4(-1-8) + 5(8-3)]

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

= 1/2 [16 - 36 + 25]

= 1/2 [5]

= 2 1/2 sq.units

3.

In which quadrant does the point(1, 5) lie?

**Answer: Option 'A'**

**The point (1, 5) lies in 1st quadrant.**

4.

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**

5.

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)**

6.

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.

7.

If for a line m = tanϑ < 0, then

**Answer: Option 'B'**

**m = tanϑ < 0 => is obtuse**

8.

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

**Answer: Option 'D'**

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

9.

The points A(1, -3), B(13, 9), C(10, 12) and D(-2, 0) taken in order are the vertices of

**Answer: Option 'D'**

**AB ^{2} = (13-1)^{2} + (9+3)^{2}**

= 12^{2} + 12^{2} = 288.

BC^{2} = (10-13)^{2} + (12-9)^{2}

= -3^{2} + 3^{2} = 9+9 = 18

CD^{2} = (10+2)^{2} + (12-0)^{2}

= 12^{2} + 12^{2} = 288

AD^{2} = (-2-1)^{2} + (0+3)^{2} = (9+9) =18

AB = CD and BC = AD

AC^{2} = (10-1)^{2} + (12+3)^{2}

= 9^{2} + 15^{2} = 81 + 225 = 306.

BD^{2} = (-2-13)^{2} + (0-9)^{2}

= 225 + 81 = 306

AC = BD

ABCD is a rectangle.

10.

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

11.

Find the distance between the points A(-4, 7) and B(2, -5).

**Answer: Option 'B'**

**AB = √(2+4) ^{2} + (-5-7)^{2}**

= √62 + (-12)^{2}

= √36+144 = √180

=√36 × 5 = 6√5 units.

12.

If the points A(1, 2), B(2, 4), and C(k, 6) are collinear, then k = ?

**Answer: Option 'B'**

**x _{1} = 1, x_{2} = 2, x_{3} = k and y_{1} = 2, y_{2} = 4, y_{3} = 6 **

= 1(4 - 6) + 2 (6 - 2) + k(2 - 4)

= -2 + 12 - 4 + 2k - 4k = 0

= 6 - 2k = 0

= -2k = 6

= k = -3.

13.

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}.

14.

Find the area of ΔABC whose vertices are A(2, -5), B(4, 9) and (6, -1).

**Answer: Option 'D'**

**Here, x _{1} = 2, x_{2} = 4, x_{3} = 6 and y_{1} = -5, y_{2} = 9, y_{3} = -1**

= 1/2 [2(9+1) + 4(-1+5) + 6(5-9)]

= 1/2 [2(10) + 4(4) + 6(-4)]

= 1/2 [20 + 16 - 24]

= 1/2 [12]

= 6 sq.units

15.

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

**Answer: Option 'B'**

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

- 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