Orthocentre
Trending Questions
Find the value of k, if area of triangle is 4 sq unit and vertices are
(k, 0), (4, 0)(0, 2)
(−2, 0), (0, 4), (0, k)
If area of a triangle is 35 sq unit with vertices (2, -6), (5, 4) and (k, 4), then k is
a) 12
b) -2
c) -12, -2
d) 12, -2
If and are co-planar, then the sum of all possible values of is:
- I quadrant
- II quadrant
- III quadrant
- IV quadrant
The distance between the orthocentre and circumcentre of the triangle with vertices (1, 2) (2, 1) and (3+√32, 3+√32) is
√2
0
3+√3
none of these
- 2bb+1
- −2b2b+1
- 2b2b+1
- −2bb+1
- (3, 54)
- (3, 34)
- (3, 9)
- (3, 12)
+
= 100
+
= 100
+
= 100
+
= 100
(1+q)x−qy+q(1+q)=0 and y=0 where p≠q, is
- A hyperbola
- A parabola
- An ellipse
- A straight line
- 0
- √2
- √3
- 3√3
The diagonal passing through origin of a quadrilateral formed by and is
None of these
A straight line through the point meets the axis at and axis at . The locus of the midpoint of is
The equation of the line which is such that the portion of line segment intercepted between the coordinate axes is bisected at , is
- None of these
The orthocentre of the triangle F1MN is
- (−910, 0)
- (23, 0)
- (910, 0)
- (23, √6)
- sin(α−β2)=1√2
- cos(α−β2)=−1√2
- Coordinates of orthocentre are (0, 0)
- Coordinates of orthocentre are (cosα, sinα)
- They form an equilateral triangle.
- They form a right angled isosceles triangle.
- Orthocentre of the triangle is (−3, 3)
- Orthocentre of the triangle is (3, −7)
A line is drawn through the point to meet the coordinate axes at and such that it forms a triangle , where is the origin, if the area of the is least, then the slope of the line is?
- (1, 3√3)
- (53, 1√3)
- (1, 1√3)
- (1, √3)
- 7
- 4
- −1
- −2
Find the coordinates of the orthocentre of the triangles whose angular points are , and .
- (4, 7)
- (−4, −7)
- (2, −3)
- (5, −1)
The value of is
Let k be an integer such that the triangle with vertices (k, -3k), (5, k) and (-k, 2) has area 28 sq units. Then, the orthocentre of this triangle is at the point
- (2, −12)
- (1, 34)
- (2, 12)
- (1, −34)
- (0, 0)
- None of these
- (p2, q2)
- (p3, q3)