Conamat Ejercicios Resueltos — Geometria Analitica

Below, you will find covering the most common topics, explained step by step.

Encuentra la ecuación de la recta que pasa por el punto $P(4, -2)$ y forma un ángulo de $45^\circ$ con la recta $L_1: 3x - y + 1 = 0$. geometria analitica conamat ejercicios resueltos

: ( d = 5 )

: ( m = 2 )

: [ \frac(x - h)^2a^2 + \frac(y - k)^2b^2 = 1, \quad a > b ] Center ( (h, k) ), vertices ( (h \pm a, k) ), foci ( (h \pm c, k) ), ( c^2 = a^2 - b^2 ). Below, you will find covering the most common

: Complete the square: [ y = 2(x^2 - 4x) + 5 = 2(x^2 - 4x + 4 - 4) + 5 ] [ y = 2[(x - 2)^2 - 4] + 5 = 2(x - 2)^2 - 8 + 5 = 2(x - 2)^2 - 3 ] Rewrite: [ y + 3 = 2(x - 2)^2 \implies (x - 2)^2 = \frac12(y + 3) ] So ( 4p = \frac12 \implies p = \frac18 ). : Complete the square: [ y = 2(x^2