If the vertices of a triangle be (a, b - c), (b, c - a) and (c, a - b), then the centroid of the triangle lies Options: A . &nbspAt origin B . &nbspOn x-axis C . &nbspOn y-axis D . &nbsp(a+b+c,0)

Answer: Option B : B x = a + b + c 3 , y = b − c + c − a + a − b 3 = 0 Hence, centroid lies on x - axis.

If the vertices of a triangle be (a, b - c), (b, c - a) and (c, a

Question

If the vertices of a triangle be (a, b - c), (b, c - a) and (c, a - b), then the centroid of the triangle lies

Options:

A . At origin

B . On x-axis

C . On y-axis

D . (a+b+c,0)

Answer: Option B
:
B
x =

\frac{a + b + c}{3}

, y =

\frac{b - c + c - a + a - b}{3}

= 0
Hence, centroid lies on x - axis.

Was this answer helpful ?

Next Question

Question 1. The angle between the pair of straight lines x2−y2−2y−1=0, is ....

Question 2. The lines joining the points of intersection of line x + y = 1 and curve x2+y2−2y+λ=0 to the origin are per....origin are perpendicular, then the value of λ will be

Question 3. The orthocenter of the triangle formed by the lines x + y = 1, 2x + 3y = 6 and 4x - y + 4 = 0 lies in....

Question 4. If (α, β), (¯x , ¯y) and (u, v)are respectively coordinates of....coordinates of the circumcentre, centroid and orthocentre of a triangle.

Question 5. Without changing the direction of coordinate axes, origin is transferred to (h, k), so that the linear (one degree) ter....equation x2+y2−4x+6y−7=0 are eliminated. Then the point (h, k) is

Question 6. The equation of the internal bisector of ∠BAC of ΔABC with vertices A(5, 2), B(2, 3) and C(6, 5), is....

Question 7. If the orthocenter and circumcentre of a triangle are (0,0) and (3,6) respectively then the centroid of the tr....are (0,0) and (3,6) respectively then the centroid of the triangle is

Question 8. If the lines (p−q)x2+2(p+q)xy+(q−p)y2=0 are mutually perpendicular, then ....

Question 9. The equation of the internal bisector of ∠BAC of ΔABC with vertices A(5, 2), B(2, 3) and C(6, 5), is....

Question 10. The orthocenter of the triangle formed by the lines x + y = 1, 2x + 3y = 6 and 4x - y + 4 = 0 lies in....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0