Skip to main content

Posts

10th Pair of Linear Equations in two variables MCQ for Board exam

                                            ir 1. The number of solutions of the pair of linear equations  x +  2 y –  8 = 0 and 2 x +  4 y =  16 is : (a) 0 (b) 1 (c) infinitely many (d) none of these 2. The graphical representation of the pair of equations  x +  2 y –  4 = 0 and 2 x +  4 y –  12 = 0 represents (a) intersecting lines (b) parallel lines (c) coincident lines (d) all of these 3. If a pair of linear equations is consistent, then the lines will be : (a) parallel (b) always coincident (c) intersecting or coincident (d) always intersecting 4. The condition so that the pair of linear equations  kx +  3 y +  1 = 0, 2 x + y +  3 = 0 has exactly one solution is : (a)  k =  6 (b)  k  ≠ 6 (c)  k =  3 (d)  k  ≠ 3 5. The lines representing the linear equations 2 x – y =  3 and 4 x – y =  5 : (a) intersect at a point   (b) are parallel (c) are coincident (d) intersect at exactly two points 6. The pair of linear equations 2 x +  5 y = – 11 and 5 x +  15 y

X CBSE NCERT Chapter Tangent of Circle Questions Bank

X Chapter Tangent of Circle BY JSUNIL TUTORIAL Questions Bank for CBSE EXAMS 1. If radii of the two  concentric circles  are 15cm and 17cm , then find the length of each chord of one circle which is tangent to one other.  Ans. 16cm 2. If two tangents making an angle of 120 0   with each other , are drawn to a circle of radius 6cm, then find the angle between the two radii, which are drawn to the tangents.            Ans. 60 0 3. PQ is a chord of a circle and R is point on the minor arc. If PT is a tangent at point P such that  < QPT = 60  degree   then find <PRQ.                                Ans. 120 0   4. If a tangent PQ at a point P of a circle of radius 5cm meets a  line through  the centre O at a point Q such  that OQ = 12 cm then find the length of PQ.                            Ans. √119cm  5. From a point P, two tangents PA and PB are drawn to a  circle C (O,r) . If OP =2r ,then what is the type  of Triangle APB.                                  

10th co-ordinate solved problems

CBSE ADDA Q . 1. Find a point on the x-axis which is equidistant from the points (7, 6) and (-3, 4). Q . 2. Show that the points A (1,2),B (5,4),C (3,8) and D (-1,6) are the vertices of a square. Q . 3. If A(6,-1), B(1,3) and C(k,8) are three points such that AB = BC, find the value of k. Q . 4. By distance formula, shoe that the points (1,-1), (5,2), (9,5), are collinear. Q . 5. Find the ratio in which the point P (m,6) divides the join of A(-4,3) and B(2,8). Also find the value of m. Q . 8. Show that the points (a, b + c), (b, c + a), (c, a + b), are collinear . Q . 9. Find the area of quadrilateral ABCD whose vertices are A (-5,7),B (-4,-5),C (-1,-6) and D(4,5). 10th Co-Ordinate Geometry Solved Problems-1 Download File 10th Co-Ordinate Geometry Solved Problems -2 Download File 10th Co-Ordinate Geometry Solved Problems-3 Download File 10th Co-Ordinate Geometry Solved Problems-4 Download File 10th Co-Ordinate Geometry Solved Problems-5 Downlo

10th Similar Triangles study Material links given

CBSE Maths X Triangles – Criteria for Similarity of Triangles 10th math Converse of Thales theorem 10th math Triangles Thales theorem and angle bisector theorem 10th math SAS similarity of triangle 10th SSS similarity for two triangles are similar 10th AA- similarity for two triangles are similar class 10 similar-triangles study links