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Important Questions for Class 10 Maths Chapter 4 Quadratic Equations - Learn CBSE  Question 1. Find the distance of the point -3, 4 from the x-axis. Question 2. If the points A x, 2 , B -3, 4 and C 7, -5 are collinear, then find the value of x. Question 3.

Question 4. In which quadrant the point P that divides the line segment joining the points A 2, -5 and B 5,2 in the ratio 2 : 3 lies? Question 5. Calculate the length of one of its diagonals. Question 6. In the figure, calculate the area of triagle ABC in sq. Question 7.

Find a relation between x and y such that the point P x, y is equidistant from the points A 2, 5 and B -3, 7. Question 8. Find the relation between x and y if the points A x, y , B -5, 7 and C -4, 5 are collinear. Question 9. Question Find the ratio in which y-axis divides the line segment joining the points A 5, -6 , and B -1, Also find the coordinates of the point of division. Let P and Q be the points of trisection of the line segment joining the points A 2, -2 and B -7, 4 such that P is nearer to A.

Three vertices of a parallelogram taken in order are -1, 0 , 3, 1 and 2, 2 respectively. Find the coordinates of fourth Ch 10 Maths Class 10 Important Questions Java vertex. Since, the diagonals of a parallelogram bisect each other. A line intersects the y-axis and x-axis at the points P and Q respectively. If 2, -5 is the mid point of PQ, then find the coordinates of P and Ch 1 Class 10 Maths Important Questions Result Question OD Solution: We know that at y-axis coordinates of points are 0, y and at x-axis x, 0.

Find the area of the triangle whose vertices are 1, 2 , 3, 7 and 5, 3. The points A 4, 7 , B p, 3 and C 7, 3 are the vertices of a right triangle, right-angled at B. Find the value of p. 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 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 Ch 2 Class 10 Maths Important Questions Usa 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 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.

Find the value of k, if the points P 5, 4 , Q 7, k and R 9, � 2 are collinear. If P 2, 4 is equidistant from Q 7, 0 and R x, 9 , find the values of x.

Find the point of y-axis which is equidistant from the points -5, -2 and 3, 2. Point M 11, y lies on the line segment joining the points P 15, 5 and Q 9, Find the ratio in which point M divides the line segment PQuestion Also find the value of y.

Find the value of k, for which the points A 6,-1 , B k, -6 and C 0, -7 are collinear. Find the value of p, if the points A 1, 2 , B 3, p and C 5, -4 are collinear. Find the value of x for which the points x, -1 , 2, 1 and 4, 5 are collinear.

Find the values of k so that the area of the triangle with vertices 1, -1 , -4, 2k and -k, -5 is 24 sq. The x-coordinate of a point P is twice its y coordinate. If P is equidistant from Q 2, -5 and R -3, 6 , find the coordinates of P. Important Questions for Class 10 Maths. RD Sharma Class 12 Solutions. Watch Youtube Videos.  20:52:

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