Angle between Two Lines
Trending Questions
Q. Observe the given figure and find the value of unknown angles x and y.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1527090/original_lkao.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1527090/original_lkao.png)
- x = 72°, y = 22°
- x = 72°, y = 40°
- x = 112°, y = 40°
- x = 112°, y = 22°
Q.
In the below Fig. OA and OB are opposite rays:
(ii) If y=35∘, what is the value of x ?
Q.
Two equal sides of an isosceles triangle have the equations 7x−y+3=0and x+y−3=0 and its third side passes through the point (1, −10). Find the equation of third side.
Q. One of the diagonals of a rhombus is equal to a side of the rhombus. The angles of the rhombus are
- 60o, 80o
- 60o, 120o
- 120o, 240o
- 100o, 120o
Q. Graphically, find the number of solution for the following pair of linear equations in two variables:
6x – 3y + 10 = 0
2x – y + 9 = 0
6x – 3y + 10 = 0
2x – y + 9 = 0
Q. Let the vectors a, b, c and d be such that (a×b)×(c×d)=0. Let P1and P2be planes determined by pair of vectors a, b and c, d respectively. Then the angle between P1and P2 is
- 0∘
- π4
- π3
- π2
Q.
Solve for d: 3d2+17d−20=0
Q. Solve -
35x2−12ax+(a2−b2)=0
35x2−12ax+(a2−b2)=0
Q. In quadrilateral ABCD, diagonal BD is bisected by the diagonal AC.
then ΔABC and ΔADC are equal in area.
State whether the above statement is true or false.
![196104_9263c54993854f44a2f9eccb01fe4793.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/196104_9263c54993854f44a2f9eccb01fe4793.png)
then ΔABC and ΔADC are equal in area.
State whether the above statement is true or false.
![196104_9263c54993854f44a2f9eccb01fe4793.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/196104_9263c54993854f44a2f9eccb01fe4793.png)
- True
- False
Q. A straight line L through the point (3, −2) is inclined at an angle 60o to the line √3x+y=1. lf L also intersects the x−axis, then the equation of L is
- y+√3x+2−3√3=0
- y−√3x+2+3√3=0
- √3y−x+3+2√3=0
- √3y+x−3+2√3=0
Q. A triangle has two of its sides along the axes, its third side touches the circle x2+y2−2ax−2ay+a2=0, where a>0. If the locus of the circumcentre of the triangle passes through the point (38, −37), then a2−2a is equal to
Q. The angle between the lines whose direction cosines are connected by the relations l+m+n=0 and 2lm+2nl−mn=0 is
- π2
- π4
- π3
- none of these
Q. A≡(1, 2) and B≡(7, 10) are two points. If P(x, y) is a point such that ∠APB=60∘ and area of ΔAPB is maximum, then which of the following is (are) TRUE ?
- P lies on any line perpendicular to AB
- P lies on the perpendicular bisector of AB
- P lies on the line 3x+4y=36
- Radius of circumcircle of ΔPAB is 10 units