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Extra Questions for Class 10 Maths with Solutions Chapter Wise | TET Success Key NCERT Solutions for Class 10 Maths Chapter 7 provides answers with detailed descriptions as per term limit particularised by the Board for self-evaluation. Solving these solutions will provide excellent practice for the students so they can finish the paper on time.
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Prove that the points 7, 10 , -2, 5 and 3, -4 are the vertices of an isosceles right triangle. Find that value s of x for which the distance between the points P x, 4 and Q 9, 10 is 10 units. Find the value of y for which the distance between the points A 3,-1 and B 11, y is 10 units. The point A 3, y is equidistant from the points P 6, 5 and Q 0, Find the value of y.

If a point A 0, 2 is equidistant from the points B 3, p and C p, 5 , then find the value of p. Find the value of k, if the point P 2, 4 is equidistant from the points A Ch 10 Maths Class 10 Extra Questions For 5, k and B k, 7.

If the point P k � 1, 2 is equidistant from the points A 3, k and B k, 5 , find the values of k. Find a point P on the y-axis which is equidistant from the points A 4, 8 and B -6, 6. Also find the distance AP.

If the point A 0, 2 is equidistant from the points B 3, p and C p, 5 , find p. Also find the length of AB. If the point P 2, 2 is equidistant from the points A -2, k and B -2k, -3 , find k.

Also find the length of AP. Prove that the points 3, 0 , 6, 4 and -1, 3 are the vertices of a right angled isosceles triangle. Show that the points -2, 3 , 8, 3 and 6, 7 are the vertices of a right triangle.

Is ABCD a square? Find that value of k for which point 0, 2 , is equidistant from two points 3, k and k, 5. Find the area of the triangle ABC with A 1, 4 and mid-points of sides through A being 2, -1 and 0, Find the area of the triangle PQR with Q 3, 2 and the mid-points of the sides through Q being 2, -1 and 1, 2. Find the ratio in which the y-axis divides the line segment joining the points -4, -6 and 10, Find the ratio in which point P -1, y lying on the line segment joining points A -3, 10 and B 6, -8 divides it.

Also find the value of y. In what ratio does the point Points A -1, y and B 5, 7 lie on a circle with centre 0 2, -3y. Find the values of y. Hence find the radius of the circle. The area of a triangle is 5 sq. Two of its vertices are 2, 1 and 3, Find the ratio in which the line segment joining the points A 3, -3 and B -2, 7 is divided by x-axis.

D and E respectively are the mid-points of the sides AB and Ch 3 Maths Class 10 Extra Questions Type AC and their coordinates are 1, 0 and 0, 1 respectively. If two vertices of an equilateral triangle are 3, 0 and 6, 0 , find the third vertex. Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are A 2, 1 , B 4, 3 and C 2, 5. If the vertices of a triangle are 1, -3 , 4, p and -9, 7 and its area is 15 sq.

For the triangle ABC formed by the points A 4, -6 , B 3,-2 and C 5, 2 , verify that median divides the triangle into two triangles of equal area. Point P x, 4 lies on the line segment joining the points A -5, 8 and B 4, Find the ratio in which point P divides the line segment AB.

Also find the value of x. Find the ratio in which the point P x, 2 divides the line segment joining the points A 12, 5 and B 4, Also, find the value of x.

If 3, 3 , 6, y , x, 7 and 5, 6 are the vertices of a parallelogram taken in order, find the values of x and y. Since diagram of a parallelogram divides it into 2 equal areas.

These questions are helpful to brush up the key concepts and prepare well for the Maths Board Exam All these questions have been prepared by the subject matter experts. Questions based on the concepts discussed here can be asked in different formats in the exam. So, knowing the key concepts will make it easy to attempt various questions and thus obtain the desired marks in the board exam. Do the points 3, �5 , �7, 4 and 1, �2 form a triangle? Then, to prove that PQR form a triangle, show that the sum of any two of these distances is greater than the third distance.

For x 1 , y 1 , x 2 , y 2 , x 3 , y 3 and x 4 , y 4 being the vertices of a quadrilateral, how to show that the quadrilateral is a square. If a point A 2p, p is equidistant from two points B 2, �5 and C �3, 6 then find the value of p.

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