Math Problem Statement

The image contains multiple problems in Gujarati, primarily involving the geometry of line segments, coordinates, and ratios.

Solution

The image contains text in Gujarati that appears to be related to mathematical problems, particularly geometry, focused on line segments, coordinates, ratios, and vector-like concepts.

Let me summarize and help break down some of the problems presented:

  1. Problem involving Coordinates: Several of the problems ask to find midpoints, division of line segments, or distances between points given their coordinates. For example:
    • P(2,3),Q(2,6)P(2, 3), Q(-2, 6)

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Line Segments
Ratios
Midpoint Formula
Section Formula

Formulas

Midpoint formula: M = ((x1 + x2) / 2, (y1 + y2) / 2)
Section formula: P = ((m2*x1 + m1*x2) / (m1 + m2), (m2*y1 + m1*y2) / (m1 + m2))

Theorems

Distance Formula
Section Formula for dividing a line segment internally

Suitable Grade Level

Grades 9-10